106500665560 has 128 divisors (see below), whose sum is σ = 256105514880. Its totient is φ = 39768588288.

The previous prime is 106500665533. The next prime is 106500665587. The reversal of 106500665560 is 65566005601.

It is an interprime number because it is at equal distance from previous prime (106500665533) and next prime (106500665587).

It is a super-2 number, since 2×106500665560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9405022 + ... + 9416338.

It is an arithmetic number, because the mean of its divisors is an integer number (2000824335).

Almost surely, 2^106500665560 is an apocalyptic number.

106500665560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106500665560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128052757440).

106500665560 is an abundant number, since it is smaller than the sum of its proper divisors (149604849320).

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

106500665560 is a wasteful number, since it uses less digits than its factorization.

106500665560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11597 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 106500665560 in words is "one hundred six billion, five hundred million, six hundred sixty-five thousand, five hundred sixty".