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10066100 = 2252119151
BaseRepresentation
bin100110011001…
…100010110100
3200221102002112
4212121202310
510034103400
6555430152
7151363142
oct46314264
920842075
1010066100
1157558a0
123455358
132115995
1414a0592
15d3c835
hex9998b4

10066100 has 36 divisors (see below), whose sum is σ = 23831808. Its totient is φ = 3660000.

The previous prime is 10066099. The next prime is 10066117. The reversal of 10066100 is 166001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3476 + ... + 5675.

Almost surely, 210066100 is an apocalyptic number.

10066100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10066100 is an abundant number, since it is smaller than the sum of its proper divisors (13765708).

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

10066100 is a wasteful number, since it uses less digits than its factorization.

10066100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10066100 is about 3172.7117738616. The cubic root of 10066100 is about 215.9171206952.

Subtracting from 10066100 its reverse (166001), we obtain a palindrome (9900099).

The spelling of 10066100 in words is "ten million, sixty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 9151 18302 36604 45755 91510 100661 183020 201322 228775 402644 457550 503305 915100 1006610 2013220 2516525 5033050 10066100