106595581952 has 64 divisors (see below), whose sum is σ = 215589178800. Its totient is φ = 52697497600.

The previous prime is 106595581943. The next prime is 106595581969. The reversal of 106595581952 is 259185595601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106595581952² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2898077 + ... + 2934627.

Almost surely, 2^106595581952 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 106595581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107794589400).

106595581952 is an abundant number, since it is smaller than the sum of its proper divisors (108993596848).

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

106595581952 is an frugal number, since it uses more digits than its factorization.

106595581952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36670 (or 36642 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 56.

The spelling of 106595581952 in words is "one hundred six billion, five hundred ninety-five million, five hundred eighty-one thousand, nine hundred fifty-two".