103252767888 has 160 divisors (see below), whose sum is σ = 285231744000. Its totient is φ = 32114073600.

The previous prime is 103252767883. The next prime is 103252767929. The reversal of 103252767888 is 888767252301.

It is a super-2 number, since 2×103252767888² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103252767883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45265308 + ... + 45267588.

It is an arithmetic number, because the mean of its divisors is an integer number (1782698400).

Almost surely, 2^103252767888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103252767888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142615872000).

103252767888 is an abundant number, since it is smaller than the sum of its proper divisors (181978976112).

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

103252767888 is a wasteful number, since it uses less digits than its factorization.

103252767888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 103252767888 in words is "one hundred three billion, two hundred fifty-two million, seven hundred sixty-seven thousand, eight hundred eighty-eight".