106251243516 has 72 divisors (see below), whose sum is σ = 310230923184. Its totient is φ = 30303383040.

The previous prime is 106251243487. The next prime is 106251243529. The reversal of 106251243516 is 615342152601.

106251243516 is a `hidden beast` number, since 1 + 0 + 625 + 1 + 24 + 3 + 5 + 1 + 6 = 666.

It is a super-2 number, since 2×106251243516² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7884775 + ... + 7898238.

It is an arithmetic number, because the mean of its divisors is an integer number (4308762822).

Almost surely, 2^106251243516 is an apocalyptic number.

It is an amenable number.

106251243516 is an abundant number, since it is smaller than the sum of its proper divisors (203979679668).

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

106251243516 is a wasteful number, since it uses less digits than its factorization.

106251243516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15783051 (or 15783046 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 106251243516 in words is "one hundred six billion, two hundred fifty-one million, two hundred forty-three thousand, five hundred sixteen".