106616101590 has 48 divisors (see below), whose sum is σ = 278861794848. Its totient is φ = 28260711168.

The previous prime is 106616101549. The next prime is 106616101597. The reversal of 106616101590 is 95101616601.

106616101590 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 61 + 0 + 1 + 590 = 666.

It is a super-2 number, since 2×106616101590² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106616101597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3531747 + ... + 3561806.

It is an arithmetic number, because the mean of its divisors is an integer number (5809620726).

Almost surely, 2^106616101590 is an apocalyptic number.

106616101590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106616101590 is an abundant number, since it is smaller than the sum of its proper divisors (172245693258).

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

106616101590 is a wasteful number, since it uses less digits than its factorization.

106616101590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093733 (or 7093730 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 106616101590 in words is "one hundred six billion, six hundred sixteen million, one hundred one thousand, five hundred ninety".