106102560 has 48 divisors (see below), whose sum is σ = 334224576. Its totient is φ = 28293888.

The previous prime is 106102541. The next prime is 106102567. The reversal of 106102560 is 65201601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106102560² = 22515506477107200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106102567) 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, 110044 + ... + 111003.

It is an arithmetic number, because the mean of its divisors is an integer number (6963012).

Almost surely, 2^106102560 is an apocalyptic number.

106102560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106102560 is an abundant number, since it is smaller than the sum of its proper divisors (228122016).

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

106102560 is a wasteful number, since it uses less digits than its factorization.

106102560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221065 (or 221057 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106102560 is about 10300.6096906931. The cubic root of 106102560 is about 473.4149344646.

The spelling of 106102560 in words is "one hundred six million, one hundred two thousand, five hundred sixty".