103015968 has 48 divisors (see below), whose sum is σ = 295003296. Its totient is φ = 31216640.

The previous prime is 103015961. The next prime is 103015973. The reversal of 103015968 is 869510301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×103015968² = 21224579325954048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (103015961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 47721 + ... + 49832.

It is an arithmetic number, because the mean of its divisors is an integer number (6145902).

Almost surely, 2^103015968 is an apocalyptic number.

It is an amenable number.

103015968 is an abundant number, since it is smaller than the sum of its proper divisors (191987328).

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

103015968 is a wasteful number, since it uses less digits than its factorization.

103015968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97577 (or 97569 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 103015968 is about 10149.6782215004. The cubic root of 103015968 is about 468.7790370635.

The spelling of 103015968 in words is "one hundred three million, fifteen thousand, nine hundred sixty-eight".