106270446024 has 96 divisors (see below), whose sum is σ = 298116000000. Its totient is φ = 34163579520.

The previous prime is 106270445989. The next prime is 106270446109. The reversal of 106270446024 is 420644072601.

106270446024 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 7 + 0 + 44 + 602 + 4 = 666.

It is a super-2 number, since 2×106270446024² (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 self number, because there is not a number n which added to its sum of digits gives 106270446024.

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, 572727 + ... + 735225.

It is an arithmetic number, because the mean of its divisors is an integer number (3105375000).

Almost surely, 2^106270446024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106270446024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149058000000).

106270446024 is an abundant number, since it is smaller than the sum of its proper divisors (191845553976).

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

106270446024 is a wasteful number, since it uses less digits than its factorization.

106270446024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162835 (or 162828 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 106270446024 in words is "one hundred six billion, two hundred seventy million, four hundred forty-six thousand, twenty-four".