100555761600 has 1512 divisors, whose sum is σ = 449920297008. Its totient is φ = 21159936000.

The previous prime is 100555761577. The next prime is 100555761629. The reversal of 100555761600 is 6167555001.

It is a super-2 number, since 2×100555761600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 995601550 + ... + 995601650.

It is an arithmetic number, because the mean of its divisors is an integer number (297566334).

Almost surely, 2^100555761600 is an apocalyptic number.

100555761600 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 100555761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224960148504).

100555761600 is an abundant number, since it is smaller than the sum of its proper divisors (349364535408).

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

100555761600 is a wasteful number, since it uses less digits than its factorization.

100555761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 100555761600 in words is "one hundred billion, five hundred fifty-five million, seven hundred sixty-one thousand, six hundred".