103142592 has 112 divisors (see below), whose sum is σ = 346577920. Its totient is φ = 29465856.

The previous prime is 103142573. The next prime is 103142653. The reversal of 103142592 is 295241301.

103142592 is a `hidden beast` number, since 1 + 0 + 31 + 42 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7833 + ... + 16359.

Almost surely, 2^103142592 is an apocalyptic number.

103142592 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 103142592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173288960).

103142592 is an abundant number, since it is smaller than the sum of its proper divisors (243435328).

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

103142592 is an equidigital number, since it uses as much as digits as its factorization.

103142592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555 (or 8539 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 103142592 is about 10155.9141390620. The cubic root of 103142592 is about 468.9710279232.

Adding to 103142592 its reverse (295241301), we get a palindrome (398383893).

The spelling of 103142592 in words is "one hundred three million, one hundred forty-two thousand, five hundred ninety-two".