100449687600 has 360 divisors, whose sum is σ = 365883790272. Its totient is φ = 26461728000.

The previous prime is 100449687553. The next prime is 100449687617. The reversal of 100449687600 is 6786944001.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8061375 + ... + 8073825.

Almost surely, 2^100449687600 is an apocalyptic number.

100449687600 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 100449687600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182941895136).

100449687600 is an abundant number, since it is smaller than the sum of its proper divisors (265434102672).

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

100449687600 is a wasteful number, since it uses less digits than its factorization.

100449687600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 100449687600 in words is "one hundred billion, four hundred forty-nine million, six hundred eighty-seven thousand, six hundred".