101534115240 has 192 divisors, whose sum is σ = 341102361600. Its totient is φ = 26166067200.

The previous prime is 101534115233. The next prime is 101534115301. The reversal of 101534115240 is 42511435101.

101534115240 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 3 + 411 + 5 + 240 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8576125 + ... + 8587955.

It is an arithmetic number, because the mean of its divisors is an integer number (1776574800).

Almost surely, 2^101534115240 is an apocalyptic number.

101534115240 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 101534115240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170551180800).

101534115240 is an abundant number, since it is smaller than the sum of its proper divisors (239568246360).

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

101534115240 is a wasteful number, since it uses less digits than its factorization.

101534115240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12648 (or 12641 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 101534115240 in words is "one hundred one billion, five hundred thirty-four million, one hundred fifteen thousand, two hundred forty".