10106735136 has 96 divisors (see below), whose sum is σ = 27182453760. Its totient is φ = 3286289664.

The previous prime is 10106735083. The next prime is 10106735147. The reversal of 10106735136 is 63153760101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10106735097 and 10106735106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5377845 + ... + 5379723.

It is an arithmetic number, because the mean of its divisors is an integer number (283150560).

Almost surely, 2^10106735136 is an apocalyptic number.

10106735136 is a gapful number since it is divisible by the number (16) 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 10106735136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13591226880).

10106735136 is an abundant number, since it is smaller than the sum of its proper divisors (17075718624).

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

10106735136 is a wasteful number, since it uses less digits than its factorization.

10106735136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 10106735136 in words is "ten billion, one hundred six million, seven hundred thirty-five thousand, one hundred thirty-six".