103355637120000 has 3080 divisors, whose sum is σ = 417443705266896. Its totient is φ = 25464471552000.

The previous prime is 103355637119993. The next prime is 103355637120011. The reversal of 103355637120000 is 21736553301.

103355637120000 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 5 + 5 + 637 + 12 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×103355637120000² (a number of 29 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 polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 658316159922 + ... + 658316160078.

Almost surely, 2^{103355637120000} is an apocalyptic number.

103355637120000 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 103355637120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208721852633448).

103355637120000 is an abundant number, since it is smaller than the sum of its proper divisors (314088068146896).

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

103355637120000 is an frugal number, since it uses more digits than its factorization.

103355637120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 103355637120000 in words is "one hundred three trillion, three hundred fifty-five billion, six hundred thirty-seven million, one hundred twenty thousand".