100155542400 has 288 divisors, whose sum is σ = 372918564720. Its totient is φ = 25546752000.

The previous prime is 100155542393. The next prime is 100155542411. The reversal of 100155542400 is 4245551001.

100155542400 is a `hidden beast` number, since 100 + 1 + 5 + 554 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×100155542400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 586800 + ... + 738000.

Almost surely, 2^100155542400 is an apocalyptic number.

100155542400 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 100155542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186459282360).

100155542400 is an abundant number, since it is smaller than the sum of its proper divisors (272763022320).

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

100155542400 is a wasteful number, since it uses less digits than its factorization.

100155542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151254 (or 151234 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 100155542400 in words is "one hundred billion, one hundred fifty-five million, five hundred forty-two thousand, four hundred".