102110161816404 has 252 divisors, whose sum is σ = 311690236323648. Its totient is φ = 29171323994400.

The previous prime is 102110161816393. The next prime is 102110161816477. The reversal of 102110161816404 is 404618161011201.

102110161816404 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 0 + 1 + 6 + 1 + 8 + 1 + 640 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1641848949 + ... + 1641911139.

Almost surely, 2^{102110161816404} is an apocalyptic number.

102110161816404 is a gapful number since it is divisible by the number (14) 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 102110161816404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155845118161824).

102110161816404 is an abundant number, since it is smaller than the sum of its proper divisors (209580074507244).

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

102110161816404 is a wasteful number, since it uses less digits than its factorization.

102110161816404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73718 (or 73694 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 102110161816404 in words is "one hundred two trillion, one hundred ten billion, one hundred sixty-one million, eight hundred sixteen thousand, four hundred four".