10234603872 has 108 divisors (see below), whose sum is σ = 30074613660. Its totient is φ = 3301395840.

The previous prime is 10234603853. The next prime is 10234603877. The reversal of 10234603872 is 27830643201.

It is a happy number.

10234603872 is a `hidden beast` number, since 10 + 2 + 34 + 603 + 8 + 7 + 2 = 666.

It is a super-3 number, since 3×10234603872³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234603877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 258279 + ... + 295257.

It is an arithmetic number, because the mean of its divisors is an integer number (278468645).

Almost surely, 2^10234603872 is an apocalyptic number.

10234603872 is a gapful number since it is divisible by the number (12) 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 10234603872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037306830).

10234603872 is an abundant number, since it is smaller than the sum of its proper divisors (19840009788).

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

10234603872 is a wasteful number, since it uses less digits than its factorization.

10234603872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37057 (or 37015 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10234603872 in words is "ten billion, two hundred thirty-four million, six hundred three thousand, eight hundred seventy-two".