106091564089 has 81 divisors (see below), whose sum is σ = 136312244901. Its totient is φ = 82315200240.

The previous prime is 106091564083. The next prime is 106091564093. The reversal of 106091564089 is 980465190601.

The square root of 106091564089 is 325717.

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

It is not a de Polignac number, because 106091564089 - 2¹⁹ = 106091039801 is a prime.

It is a super-2 number, since 2×106091564089² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (106091564083) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1342931152 + ... + 1342931230.

It is an arithmetic number, because the mean of its divisors is an integer number (1682867221).

Almost surely, 2^106091564089 is an apocalyptic number.

106091564089 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

106091564089 is the 325717-th square number.

106091564089 is the 162859-th centered octagonal number.

It is an amenable number.

106091564089 is a deficient number, since it is larger than the sum of its proper divisors (30220680812).

106091564089 is an frugal number, since it uses more digits than its factorization.

106091564089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

Multiplying 106091564089 by its sum of digits (49), we get a square (5198486640361 = 2280019²).

106091564089 divided by its sum of digits (49) gives a square (2165133961 = 46531²).

The spelling of 106091564089 in words is "one hundred six billion, ninety-one million, five hundred sixty-four thousand, eighty-nine".