100748862238192 has 160 divisors (see below), whose sum is σ = 236537540628480. Its totient is φ = 40638783144960.

The previous prime is 100748862238183. The next prime is 100748862238223. The reversal of 100748862238192 is 291832268847001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100748862238192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58781842 + ... + 60471502.

It is an arithmetic number, because the mean of its divisors is an integer number (1478359628928).

Almost surely, 2^{100748862238192} 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 100748862238192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118268770314240).

100748862238192 is an abundant number, since it is smaller than the sum of its proper divisors (135788678390288).

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

100748862238192 is a wasteful number, since it uses less digits than its factorization.

100748862238192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690071 (or 1690065 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 61.

The spelling of 100748862238192 in words is "one hundred trillion, seven hundred forty-eight billion, eight hundred sixty-two million, two hundred thirty-eight thousand, one hundred ninety-two".