103003254464004 has 36 divisors (see below), whose sum is σ = 261005937557820. Its totient is φ = 34250470917120.

The previous prime is 103003254463943. The next prime is 103003254464009. The reversal of 103003254464004 is 400464452300301.

103003254464004 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 0 + 3 + 2 + 5 + 4 + 4 + 640 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47424708633600 + 55578545830404 = 6886560^2 + 7455102^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103003254464004.

It is not an unprimeable number, because it can be changed into a prime (103003254464009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3497786637 + ... + 3497816084.

Almost surely, 2^{103003254464004} is an apocalyptic number.

It is an amenable number.

103003254464004 is an abundant number, since it is smaller than the sum of its proper divisors (158002683093816).

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

103003254464004 is a wasteful number, since it uses less digits than its factorization.

103003254464004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995603140 (or 6995603135 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

It can be divided in two parts, 10300 and 3254464004, that added together give a square (3254474304 = 57048²).

The spelling of 103003254464004 in words is "one hundred three trillion, three billion, two hundred fifty-four million, four hundred sixty-four thousand, four".