101542839840 has 768 divisors, whose sum is σ = 403174195200. Its totient is φ = 23681839104.

The previous prime is 101542839809. The next prime is 101542839869. The reversal of 101542839840 is 48938245101.

101542839840 is a `hidden beast` number, since 10 + 1 + 542 + 8 + 3 + 98 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164043051 + ... + 164043669.

It is an arithmetic number, because the mean of its divisors is an integer number (524966400).

Almost surely, 2^101542839840 is an apocalyptic number.

101542839840 is a gapful number since it is divisible by the number (10) 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 101542839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201587097600).

101542839840 is an abundant number, since it is smaller than the sum of its proper divisors (301631355360).

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

101542839840 is a wasteful number, since it uses less digits than its factorization.

101542839840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 101542839840 in words is "one hundred one billion, five hundred forty-two million, eight hundred thirty-nine thousand, eight hundred forty".