102601888 has 48 divisors (see below), whose sum is σ = 208996200. Its totient is φ = 49545216.

The previous prime is 102601879. The next prime is 102601897. The reversal of 102601888 is 888106201.

It is an interprime number because it is at equal distance from previous prime (102601879) and next prime (102601897).

It can be written as a sum of positive squares in 4 ways, for example, as 96589584 + 6012304 = 9828^2 + 2452^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228288 + ... + 228736.

Almost surely, 2^102601888 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 102601888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104498100).

102601888 is an abundant number, since it is smaller than the sum of its proper divisors (106394312).

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

102601888 is a wasteful number, since it uses less digits than its factorization.

102601888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 102601888 is about 10129.2590054752. The cubic root of 102601888 is about 468.1500967411.

The spelling of 102601888 in words is "one hundred two million, six hundred one thousand, eight hundred eighty-eight".