106010500560 has 40 divisors (see below), whose sum is σ = 328632552480. Its totient is φ = 28269466752.

The previous prime is 106010500553. The next prime is 106010500567. The reversal of 106010500560 is 65005010601.

It is an interprime number because it is at equal distance from previous prime (106010500553) and next prime (106010500567).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106010500560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106010500560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010500567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220854970 + ... + 220855449.

It is an arithmetic number, because the mean of its divisors is an integer number (8215813812).

Almost surely, 2^106010500560 is an apocalyptic number.

106010500560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106010500560 is an abundant number, since it is smaller than the sum of its proper divisors (222622051920).

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

106010500560 is a wasteful number, since it uses less digits than its factorization.

106010500560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441710435 (or 441710429 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 106010500560 in words is "one hundred six billion, ten million, five hundred thousand, five hundred sixty".