106195786757956 has 81 divisors (see below), whose sum is σ = 216716884713399. Its totient is φ = 45400628114688.

The previous prime is 106195786757909. The next prime is 106195786758001. The reversal of 106195786757956 is 659757687591601.

The square root of 106195786757956 is 10305134.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 33932186117956 + 72263600640000 = 5825134^2 + 8500800^2 .

It is a super-3 number, since 3×106195786757956³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106195786757956.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89015746896 + ... + 89015748088.

Almost surely, 2^{106195786757956} is an apocalyptic number.

106195786757956 is the 10305134-th square number.

It is an amenable number.

106195786757956 is an abundant number, since it is smaller than the sum of its proper divisors (110521097955443).

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

106195786757956 is an frugal number, since it uses more digits than its factorization.

106195786757956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 6001128000, while the sum is 82.

The spelling of 106195786757956 in words is "one hundred six trillion, one hundred ninety-five billion, seven hundred eighty-six million, seven hundred fifty-seven thousand, nine hundred fifty-six".