106580049156 has 135 divisors (see below), whose sum is σ = 324235632567. Its totient is φ = 30439689840.

The previous prime is 106580049137. The next prime is 106580049211. The reversal of 106580049156 is 651940085601.

The square root of 106580049156 is 326466.

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

106580049156 is a `hidden beast` number, since 10 + 6 + 580 + 0 + 4 + 9 + 1 + 56 = 666.

It is a super-2 number, since 2×106580049156² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41133421 + ... + 41136011.

Almost surely, 2^106580049156 is an apocalyptic number.

106580049156 is the 326466-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106580049156

106580049156 is an abundant number, since it is smaller than the sum of its proper divisors (217655583411).

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

106580049156 is an frugal number, since it uses more digits than its factorization.

106580049156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 106580049156 in words is "one hundred six billion, five hundred eighty million, forty-nine thousand, one hundred fifty-six".