100912354633104 has 160 divisors (see below), whose sum is σ = 300390142181376. Its totient is φ = 28594359037440.

The previous prime is 100912354633093. The next prime is 100912354633159. The reversal of 100912354633104 is 401336453219001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113791249 + ... + 114674639.

Almost surely, 2^{100912354633104} is an apocalyptic number.

100912354633104 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 100912354633104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150195071090688).

100912354633104 is an abundant number, since it is smaller than the sum of its proper divisors (199477787548272).

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

100912354633104 is a wasteful number, since it uses less digits than its factorization.

100912354633104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886213 (or 886207 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 100912354633104 in words is "one hundred trillion, nine hundred twelve billion, three hundred fifty-four million, six hundred thirty-three thousand, one hundred four".