100434107040 has 48 divisors (see below), whose sum is σ = 316367438688. Its totient is φ = 26782428416.

The previous prime is 100434107023. The next prime is 100434107051. The reversal of 100434107040 is 40701434001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100434107040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104618382 + ... + 104619341.

It is an arithmetic number, because the mean of its divisors is an integer number (6590988306).

Almost surely, 2^100434107040 is an apocalyptic number.

100434107040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100434107040 is an abundant number, since it is smaller than the sum of its proper divisors (215933331648).

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

100434107040 is a wasteful number, since it uses less digits than its factorization.

100434107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209237741 (or 209237733 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 100434107040 in words is "one hundred billion, four hundred thirty-four million, one hundred seven thousand, forty".