10292229072 has 30 divisors (see below), whose sum is σ = 28803947042. Its totient is φ = 3430742976.

The previous prime is 10292229067. The next prime is 10292229109. The reversal of 10292229072 is 27092229201.

10292229072 is a `hidden beast` number, since 10 + 292 + 2 + 290 + 72 = 666.

10292229072 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 7985924496 + 2306304576 = 89364^2 + 48024^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35736763 + ... + 35737050.

Almost surely, 2^10292229072 is an apocalyptic number.

10292229072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10292229072 is an abundant number, since it is smaller than the sum of its proper divisors (18511717970).

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

10292229072 is a wasteful number, since it uses less digits than its factorization.

10292229072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71473827 (or 71473818 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10292229072 in words is "ten billion, two hundred ninety-two million, two hundred twenty-nine thousand, seventy-two".