104165164440 has 48 divisors (see below), whose sum is σ = 338536785600. Its totient is φ = 27777377088.

The previous prime is 104165164429. The next prime is 104165164451. The reversal of 104165164440 is 44461561401.

104165164440 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 6 + 5 + 1 + 644 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104165164429) and next prime (104165164451).

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

It is a junction number, because it is equal to n+sod(n) for n = 104165164395 and 104165164404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144673480 + ... + 144674199.

It is an arithmetic number, because the mean of its divisors is an integer number (7052849700).

Almost surely, 2^104165164440 is an apocalyptic number.

104165164440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104165164440 is an abundant number, since it is smaller than the sum of its proper divisors (234371621160).

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

104165164440 is a wasteful number, since it uses less digits than its factorization.

104165164440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289347696 (or 289347689 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 104165164440 in words is "one hundred four billion, one hundred sixty-five million, one hundred sixty-four thousand, four hundred forty".