101406552520 has 96 divisors (see below), whose sum is σ = 285832827000. Its totient is φ = 32093494272.

The previous prime is 101406552451. The next prime is 101406552521. The reversal of 101406552520 is 25255604101.

101406552520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46067753956 + 55338798564 = 214634^2 + 235242^2 .

It is not an unprimeable number, because it can be changed into a prime (101406552521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1964445 + ... + 2015404.

Almost surely, 2^101406552520 is an apocalyptic number.

101406552520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101406552520 is an abundant number, since it is smaller than the sum of its proper divisors (184426274480).

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

101406552520 is a wasteful number, since it uses less digits than its factorization.

101406552520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979887 (or 3979876 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 101406552520 in words is "one hundred one billion, four hundred six million, five hundred fifty-two thousand, five hundred twenty".