100480153000 has 64 divisors (see below), whose sum is σ = 237451752720. Its totient is φ = 39794080000.

The previous prime is 100480152991. The next prime is 100480153031. The reversal of 100480153000 is 351084001.

It can be written as a sum of positive squares in 8 ways, for example, as 5173349476 + 95306803524 = 71926^2 + 308718^2 .

It is a super-2 number, since 2×100480153000² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 396427 + ... + 598426.

Almost surely, 2^100480153000 is an apocalyptic number.

100480153000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100480153000 is an abundant number, since it is smaller than the sum of its proper divisors (136971599720).

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

100480153000 is a wasteful number, since it uses less digits than its factorization.

100480153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994975 (or 994961 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The spelling of 100480153000 in words is "one hundred billion, four hundred eighty million, one hundred fifty-three thousand".