109901826900 has 216 divisors, whose sum is σ = 363024514944. Its totient is φ = 27754848000.

The previous prime is 109901826857. The next prime is 109901826919. The reversal of 109901826900 is 9628109901.

It is a super-2 number, since 2×109901826900² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 2064417 + ... + 2116983.

Almost surely, 2^109901826900 is an apocalyptic number.

109901826900 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 109901826900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181512257472).

109901826900 is an abundant number, since it is smaller than the sum of its proper divisors (253122688044).

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

109901826900 is a wasteful number, since it uses less digits than its factorization.

109901826900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52711 (or 52701 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 109901826900 in words is "one hundred nine billion, nine hundred one million, eight hundred twenty-six thousand, nine hundred".