100076149555200 has 5040 divisors, whose sum is σ = 477493851770880. Its totient is φ = 20226338979840.

The previous prime is 100076149555189. The next prime is 100076149555219. The reversal of 100076149555200 is 2555941670001.

It is a happy number.

100076149555200 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 7 + 6 + 1 + 4 + 95 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 335 ways as a sum of consecutive naturals, for example, 788001177537 + ... + 788001177663.

Almost surely, 2^{100076149555200} is an apocalyptic number.

100076149555200 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 100076149555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238746925885440).

100076149555200 is an abundant number, since it is smaller than the sum of its proper divisors (377417702215680).

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

100076149555200 is an equidigital number, since it uses as much as digits as its factorization.

100076149555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 100076149555200 in words is "one hundred trillion, seventy-six billion, one hundred forty-nine million, five hundred fifty-five thousand, two hundred".