1013935104 has 528 divisors, whose sum is σ = 3835914240. Its totient is φ = 258785280.

The previous prime is 1013935099. The next prime is 1013935123. The reversal of 1013935104 is 4015393101.

1013935104 is a `hidden beast` number, since 10 + 139 + 3 + 510 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32707569 + ... + 32707599.

Almost surely, 2^1013935104 is an apocalyptic number.

1013935104 is a gapful number since it is divisible by the number (14) 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 1013935104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917957120).

1013935104 is an abundant number, since it is smaller than the sum of its proper divisors (2821979136).

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

1013935104 is a wasteful number, since it uses less digits than its factorization.

1013935104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1013935104 is about 31842.3476521440. The cubic root of 1013935104 is about 1004.6236238216.

The spelling of 1013935104 in words is "one billion, thirteen million, nine hundred thirty-five thousand, one hundred four".