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106634472 = 23371737337
BaseRepresentation
bin1100101101100…
…01110011101000
321102122120222220
412112301303220
5204244300342
614325314040
72433243450
oct626616350
9242576886
10106634472
115521306a
122b865920
1319127529
141023ad60
1595655ec
hex65b1ce8

106634472 has 64 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 28674048.

The previous prime is 106634461. The next prime is 106634483. The reversal of 106634472 is 274436601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106634461) and next prime (106634483).

It is a super-2 number, since 2×1066344722 = 22741821237437568, which contains 22 as substring.

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, 15813 + ... + 21524.

It is an arithmetic number, because the mean of its divisors is an integer number (5040630).

Almost surely, 2106634472 is an apocalyptic number.

106634472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106634472 is an abundant number, since it is smaller than the sum of its proper divisors (215965848).

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

106634472 is a wasteful number, since it uses less digits than its factorization.

106634472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37370 (or 37366 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 106634472 is about 10326.3968546633. The cubic root of 106634472 is about 474.2047220498.

The spelling of 106634472 in words is "one hundred six million, six hundred thirty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 37337 74674 112011 149348 224022 261359 298696 448044 522718 634729 784077 896088 1045436 1269458 1568154 1904187 2090872 2538916 3136308 3808374 4443103 5077832 6272616 7616748 8886206 13329309 15233496 17772412 26658618 35544824 53317236 106634472