103657152011742 has 192 divisors, whose sum is σ = 264804953946624. Its totient is φ = 28685609568000.

The previous prime is 103657152011731. The next prime is 103657152011827. The reversal of 103657152011742 is 247110251756301.

103657152011742 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 5 + 7 + 1 + 520 + 117 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2261900233 + ... + 2261946059.

It is an arithmetic number, because the mean of its divisors is an integer number (1379192468472).

Almost surely, 2^{103657152011742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103657152011742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132402476973312).

103657152011742 is an abundant number, since it is smaller than the sum of its proper divisors (161147801934882).

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

103657152011742 is a wasteful number, since it uses less digits than its factorization.

103657152011742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48063 (or 48060 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 103657152011742 in words is "one hundred three trillion, six hundred fifty-seven billion, one hundred fifty-two million, eleven thousand, seven hundred forty-two".