104457640100 has 72 divisors (see below), whose sum is σ = 248360145600. Its totient is φ = 37818633600.

The previous prime is 104457640099. The next prime is 104457640103. The reversal of 104457640100 is 1046754401.

It is a super-2 number, since 2×104457640100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104457640103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44561 + ... + 459239.

Almost surely, 2^104457640100 is an apocalyptic number.

104457640100 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 104457640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124180072800).

104457640100 is an abundant number, since it is smaller than the sum of its proper divisors (143902505500).

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

104457640100 is a wasteful number, since it uses less digits than its factorization.

104457640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414933 (or 414926 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 104457640100 in words is "one hundred four billion, four hundred fifty-seven million, six hundred forty thousand, one hundred".