10292914116 has 81 divisors (see below), whose sum is σ = 26799040359. Its totient is φ = 3330937728.

The previous prime is 10292914111. The next prime is 10292914147. The reversal of 10292914116 is 61141929201.

It is a happy number.

The square root of 10292914116 is 101454.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5952739716 + 4340174400 = 77154^2 + 65880^2 .

It is a super-2 number, since 2×10292914116² (a number of 21 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 (10292914111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22522560 + ... + 22523016.

Almost surely, 2^10292914116 is an apocalyptic number.

10292914116 is the 101454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10292914116

10292914116 is an abundant number, since it is smaller than the sum of its proper divisors (16506126243).

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

10292914116 is an equidigital number, since it uses as much as digits as its factorization.

10292914116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

Multiplying 10292914116 by its sum of digits (36), we get a square (370544908176 = 608724²).

10292914116 divided by its sum of digits (36) gives a square (285914281 = 16909²).

The spelling of 10292914116 in words is "ten billion, two hundred ninety-two million, nine hundred fourteen thousand, one hundred sixteen".