90103163904 has 792 divisors, whose sum is σ = 309252604752. Its totient is φ = 25150095360.

The previous prime is 90103163903. The next prime is 90103163951. The reversal of 90103163904 is 40936130109.

90103163904 is a `hidden beast` number, since 9 + 0 + 10 + 3 + 1 + 639 + 0 + 4 = 666.

It is a super-2 number, since 2×90103163904² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (90103163903) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1085580247 + ... + 1085580329.

Almost surely, 2^90103163904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90103163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154626302376).

90103163904 is an abundant number, since it is smaller than the sum of its proper divisors (219149440848).

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

90103163904 is a wasteful number, since it uses less digits than its factorization.

90103163904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 90103163904 in words is "ninety billion, one hundred three million, one hundred sixty-three thousand, nine hundred four".