106201888752960 has 672 divisors, whose sum is σ = 490459645009152. Its totient is φ = 20370391695360.

The previous prime is 106201888752919. The next prime is 106201888752961. The reversal of 106201888752960 is 69257888102601.

106201888752960 is a `hidden beast` number, since 1 + 0 + 6 + 20 + 1 + 8 + 8 + 87 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×106201888752960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106201888752961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15536529 + ... + 21302288.

It is an arithmetic number, because the mean of its divisors is an integer number (729850662216).

Almost surely, 2^{106201888752960} is an apocalyptic number.

106201888752960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106201888752960 is an abundant number, since it is smaller than the sum of its proper divisors (384257756256192).

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

106201888752960 is a wasteful number, since it uses less digits than its factorization.

106201888752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36838871 (or 36838858 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 106201888752960 in words is "one hundred six trillion, two hundred one billion, eight hundred eighty-eight million, seven hundred fifty-two thousand, nine hundred sixty".