106172560 has 60 divisors (see below), whose sum is σ = 267334452. Its totient is φ = 39197184.

The previous prime is 106172537. The next prime is 106172617. The reversal of 106172560 is 65271601.

It can be written as a sum of positive squares in 6 ways, for example, as 52765696 + 53406864 = 7264^2 + 7308^2 .

It is a super-2 number, since 2×106172560² = 22545224993907200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9594 + ... + 17446.

Almost surely, 2^106172560 is an apocalyptic number.

106172560 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 106172560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133667226).

106172560 is an abundant number, since it is smaller than the sum of its proper divisors (161161892).

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

106172560 is a wasteful number, since it uses less digits than its factorization.

106172560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7892 (or 7873 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 106172560 is about 10304.0069875753. The cubic root of 106172560 is about 473.5190216810.

The spelling of 106172560 in words is "one hundred six million, one hundred seventy-two thousand, five hundred sixty".