101405506248 has 48 divisors (see below), whose sum is σ = 274663006800. Its totient is φ = 33798993120.

The previous prime is 101405506247. The next prime is 101405506291. The reversal of 101405506248 is 842605504101.

It is a happy number.

101405506248 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 550 + 62 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101405506247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 913083 + ... + 1018101.

It is an arithmetic number, because the mean of its divisors is an integer number (5722145975).

Almost surely, 2^101405506248 is an apocalyptic number.

101405506248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101405506248 is an abundant number, since it is smaller than the sum of its proper divisors (173257500552).

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

101405506248 is a wasteful number, since it uses less digits than its factorization.

101405506248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118442 (or 118435 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 101405506248 in words is "one hundred one billion, four hundred five million, five hundred six thousand, two hundred forty-eight".