10261235772 has 18 divisors (see below), whose sum is σ = 25938123848. Its totient is φ = 3420411912.

The previous prime is 10261235771. The next prime is 10261235773. The reversal of 10261235772 is 27753216201.

10261235772 is a `hidden beast` number, since 1 + 0 + 2 + 61 + 23 + 577 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10261235771) and next prime (10261235773).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 285034327 = 10261235772 / (1 + 0 + 2 + 6 + 1 + 2 + 3 + 5 + 7 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10261235771) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142517128 + ... + 142517199.

Almost surely, 2^10261235772 is an apocalyptic number.

10261235772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10261235772 is an abundant number, since it is smaller than the sum of its proper divisors (15676888076).

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

10261235772 is a wasteful number, since it uses less digits than its factorization.

10261235772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285034337 (or 285034332 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

It can be divided in two parts, 102612 and 35772, that added together give a square (138384 = 372²).

The spelling of 10261235772 in words is "ten billion, two hundred sixty-one million, two hundred thirty-five thousand, seven hundred seventy-two".