103151915200 has 336 divisors, whose sum is σ = 269204626944. Its totient is φ = 38853734400.

The previous prime is 103151915159. The next prime is 103151915219. The reversal of 103151915200 is 2519151301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364494259 + ... + 364494541.

Almost surely, 2^103151915200 is an apocalyptic number.

103151915200 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 103151915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134602313472).

103151915200 is an abundant number, since it is smaller than the sum of its proper divisors (166052711744).

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

103151915200 is a wasteful number, since it uses less digits than its factorization.

103151915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 28.

The spelling of 103151915200 in words is "one hundred three billion, one hundred fifty-one million, nine hundred fifteen thousand, two hundred".