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106353996 = 22371976427
BaseRepresentation
bin1100101011011…
…01010101001100
321102010100020220
412111231111030
5204211311441
614315311340
72430664650
oct625552514
9242110226
10106353996
1155041371
122b74b550
1319059978
14101a6a60
15950c466
hex656d54c

106353996 has 48 divisors (see below), whose sum is σ = 285094656. Its totient is φ = 30227904.

The previous prime is 106353983. The next prime is 106354009. The reversal of 106353996 is 699353601.

It is an interprime number because it is at equal distance from previous prime (106353983) and next prime (106354009).

It is a super-2 number, since 2×1063539962 = 22622344930336032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13335 + ... + 19761.

It is an arithmetic number, because the mean of its divisors is an integer number (5939472).

Almost surely, 2106353996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106353996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142547328).

106353996 is an abundant number, since it is smaller than the sum of its proper divisors (178740660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106353996 is a wasteful number, since it uses less digits than its factorization.

106353996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The square root of 106353996 is about 10312.8073772373. The cubic root of 106353996 is about 473.7885969997.

The spelling of 106353996 in words is "one hundred six million, three hundred fifty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 197 394 591 788 1182 1379 2364 2758 4137 5516 6427 8274 12854 16548 19281 25708 38562 44989 77124 89978 134967 179956 269934 539868 1266119 2532238 3798357 5064476 7596714 8862833 15193428 17725666 26588499 35451332 53176998 106353996