102111552 has 84 divisors (see below), whose sum is σ = 302826420. Its totient is φ = 32858112.

The previous prime is 102111547. The next prime is 102111617. The reversal of 102111552 is 255111201.

102111552 is a `hidden beast` number, since 1 + 0 + 2 + 111 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54997056 + 47114496 = 7416^2 + 6864^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13648 + ... + 19760.

Almost surely, 2^102111552 is an apocalyptic number.

102111552 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 102111552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151413210).

102111552 is an abundant number, since it is smaller than the sum of its proper divisors (200714868).

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

102111552 is a wasteful number, since it uses less digits than its factorization.

102111552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160 (or 6147 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 102111552 is about 10105.0260761663. The cubic root of 102111552 is about 467.4031400656.

Adding to 102111552 its reverse (255111201), we get a palindrome (357222753).

The spelling of 102111552 in words is "one hundred two million, one hundred eleven thousand, five hundred fifty-two".