100968807139200 has 9216 divisors, whose sum is σ = 536307174144000. Its totient is φ = 18435465216000.

The previous prime is 100968807139177. The next prime is 100968807139217. The reversal of 100968807139200 is 2931708869001.

100968807139200 is a `hidden beast` number, since 100 + 9 + 6 + 8 + 80 + 71 + 392 + 0 + 0 = 666.

It is a super-2 number, since 2×100968807139200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1422095875165 + ... + 1422095875235.

It is an arithmetic number, because the mean of its divisors is an integer number (58193052750).

Almost surely, 2^{100968807139200} is an apocalyptic number.

100968807139200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100968807139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268153587072000).

100968807139200 is an abundant number, since it is smaller than the sum of its proper divisors (435338367004800).

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

100968807139200 is a wasteful number, since it uses less digits than its factorization.

100968807139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 100968807139200 in words is "one hundred trillion, nine hundred sixty-eight billion, eight hundred seven million, one hundred thirty-nine thousand, two hundred".