101854582452 has 216 divisors, whose sum is σ = 312901085952. Its totient is φ = 27822009600.

The previous prime is 101854582411. The next prime is 101854582463. The reversal of 101854582452 is 254285458101.

101854582452 is a `hidden beast` number, since 1 + 0 + 1 + 85 + 45 + 82 + 452 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101854582398 and 101854582407.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4527552 + ... + 4549992.

Almost surely, 2^101854582452 is an apocalyptic number.

101854582452 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 101854582452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156450542976).

101854582452 is an abundant number, since it is smaller than the sum of its proper divisors (211046503500).

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

101854582452 is a wasteful number, since it uses less digits than its factorization.

101854582452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22579 (or 22567 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 101854582452 in words is "one hundred one billion, eight hundred fifty-four million, five hundred eighty-two thousand, four hundred fifty-two".