102561192 has 96 divisors (see below), whose sum is σ = 287395680. Its totient is φ = 33022080.

The previous prime is 102561169. The next prime is 102561211. The reversal of 102561192 is 291165201.

102561192 is a `hidden beast` number, since 10 + 2 + 561 + 1 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485967 + ... + 486177.

It is an arithmetic number, because the mean of its divisors is an integer number (2993705).

Almost surely, 2^102561192 is an apocalyptic number.

102561192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

102561192 is the 5064-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102561192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143697840).

102561192 is an abundant number, since it is smaller than the sum of its proper divisors (184834488).

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

102561192 is a wasteful number, since it uses less digits than its factorization.

102561192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 102561192 is about 10127.2499722284. The cubic root of 102561192 is about 468.0881928906.

The spelling of 102561192 in words is "one hundred two million, five hundred sixty-one thousand, one hundred ninety-two".