100161911606400 has 1152 divisors, whose sum is σ = 416493384503040. Its totient is φ = 22444447334400.

The previous prime is 100161911606399. The next prime is 100161911606461. The reversal of 100161911606400 is 4606119161001.

100161911606400 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 1 + 9 + 1 + 1 + 6 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×100161911606400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17320057909 + ... + 17320063691.

It is an arithmetic number, because the mean of its divisors is an integer number (361539396270).

Almost surely, 2^{100161911606400} is an apocalyptic number.

100161911606400 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 100161911606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208246692251520).

100161911606400 is an abundant number, since it is smaller than the sum of its proper divisors (316331472896640).

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

100161911606400 is a wasteful number, since it uses less digits than its factorization.

100161911606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7494 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 100161911606400 in words is "one hundred trillion, one hundred sixty-one billion, nine hundred eleven million, six hundred six thousand, four hundred".