100361153200 has 720 divisors, whose sum is σ = 328514759424. Its totient is φ = 29059430400.

The previous prime is 100361153173. The next prime is 100361153213. The reversal of 100361153200 is 2351163001.

It is a happy number.

It is a super-2 number, since 2×100361153200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 183475327 + ... + 183475873.

Almost surely, 2^100361153200 is an apocalyptic number.

100361153200 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 100361153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164257379712).

100361153200 is an abundant number, since it is smaller than the sum of its proper divisors (228153606224).

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

100361153200 is a wasteful number, since it uses less digits than its factorization.

100361153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The spelling of 100361153200 in words is "one hundred billion, three hundred sixty-one million, one hundred fifty-three thousand, two hundred".