101825234190504 has 192 divisors, whose sum is σ = 304537370155200. Its totient is φ = 30477820876800.

The previous prime is 101825234190503. The next prime is 101825234190551. The reversal of 101825234190504 is 405091432528101.

101825234190504 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 2 + 52 + 3 + 4 + 1 + 90 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101825234190504.

It is not an unprimeable number, because it can be changed into a prime (101825234190503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310175602 + ... + 310503710.

It is an arithmetic number, because the mean of its divisors is an integer number (1586132136225).

Almost surely, 2^{101825234190504} 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 101825234190504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152268685077600).

101825234190504 is an abundant number, since it is smaller than the sum of its proper divisors (202712135964696).

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

101825234190504 is a wasteful number, since it uses less digits than its factorization.

101825234190504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332936 (or 332929 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 101825234190504 in words is "one hundred one trillion, eight hundred twenty-five billion, two hundred thirty-four million, one hundred ninety thousand, five hundred four".