1015135100 has 72 divisors (see below), whose sum is σ = 2526171648. Its totient is φ = 346852800.

The previous prime is 1015135091. The next prime is 1015135117. The reversal of 1015135100 is 15315101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215369 + ... + 220031.

Almost surely, 2^1015135100 is an apocalyptic number.

1015135100 is a gapful number since it is divisible by the number (10) 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 1015135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263085824).

1015135100 is an abundant number, since it is smaller than the sum of its proper divisors (1511036548).

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

1015135100 is a wasteful number, since it uses less digits than its factorization.

1015135100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 17.

The square root of 1015135100 is about 31861.1848492802. The cubic root of 1015135100 is about 1005.0197928496.

The spelling of 1015135100 in words is "one billion, fifteen million, one hundred thirty-five thousand, one hundred".