106091564090 has 32 divisors (see below), whose sum is σ = 196152034320. Its totient is φ = 41284214784.

The previous prime is 106091564083. The next prime is 106091564093. The reversal of 106091564090 is 90465190601.

It is a Cunningham number, because it is equal to 325717²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 10071527449 + 96020036641 = 100357^2 + 309871^2 .

It is a super-2 number, since 2×106091564090² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106091564093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3822704 + ... + 3850356.

Almost surely, 2^106091564090 is an apocalyptic number.

106091564090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106091564090 is a deficient number, since it is larger than the sum of its proper divisors (90060470230).

106091564090 is a wasteful number, since it uses less digits than its factorization.

106091564090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38066.

The product of its (nonzero) digits is 58320, while the sum is 41.

The spelling of 106091564090 in words is "one hundred six billion, ninety-one million, five hundred sixty-four thousand, ninety".