105972574302 has 144 divisors (see below), whose sum is σ = 274950919152. Its totient is φ = 29399086080.

The previous prime is 105972574291. The next prime is 105972574303. The reversal of 105972574302 is 203475279501.

It is a happy number.

105972574302 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 72 + 574 + 3 + 0 + 2 = 666.

It is a super-2 number, since 2×105972574302² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105972574303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4522677 + ... + 4546047.

It is an arithmetic number, because the mean of its divisors is an integer number (1909381383).

Almost surely, 2^105972574302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105972574302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137475459576).

105972574302 is an abundant number, since it is smaller than the sum of its proper divisors (168978344850).

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

105972574302 is a wasteful number, since it uses less digits than its factorization.

105972574302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23543 (or 23533 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 105972574302 in words is "one hundred five billion, nine hundred seventy-two million, five hundred seventy-four thousand, three hundred two".