103553851968 has 84 divisors (see below), whose sum is σ = 339221064000. Its totient is φ = 29586813696.

The previous prime is 103553851943. The next prime is 103553851979. The reversal of 103553851968 is 869158355301.

103553851968 is a `hidden beast` number, since 1 + 0 + 3 + 553 + 85 + 1 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×103553851968³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12837468 + ... + 12845531.

It is an arithmetic number, because the mean of its divisors is an integer number (4038346000).

Almost surely, 2^103553851968 is an apocalyptic number.

103553851968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103553851968 is an abundant number, since it is smaller than the sum of its proper divisors (235667212032).

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

103553851968 is a wasteful number, since it uses less digits than its factorization.

103553851968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25683024 (or 25683011 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 103553851968 in words is "one hundred three billion, five hundred fifty-three million, eight hundred fifty-one thousand, nine hundred sixty-eight".