106192520 has 64 divisors (see below), whose sum is σ = 287452800. Its totient is φ = 34490880.

The previous prime is 106192481. The next prime is 106192561. The reversal of 106192520 is 25291601.

It is a super-2 number, since 2×106192520² = 22553702607900800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106192520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4661 + ... + 15300.

It is an arithmetic number, because the mean of its divisors is an integer number (4491450).

Almost surely, 2^106192520 is an apocalyptic number.

106192520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106192520 is an abundant number, since it is smaller than the sum of its proper divisors (181260280).

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

106192520 is a wasteful number, since it uses less digits than its factorization.

106192520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19998 (or 19994 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 106192520 is about 10304.9754973023. The cubic root of 106192520 is about 473.5486930244.

The spelling of 106192520 in words is "one hundred six million, one hundred ninety-two thousand, five hundred twenty".