106505892 has 36 divisors (see below), whose sum is σ = 270635820. Its totient is φ = 35315712.

The previous prime is 106505891. The next prime is 106505897. The reversal of 106505892 is 298505601.

It is a happy number.

106505892 is a `hidden beast` number, since 10 + 65 + 0 + 589 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17089956 + 89415936 = 4134^2 + 9456^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106505892² = 22687010061431328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106505891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717 + ... + 14612.

Almost surely, 2^106505892 is an apocalyptic number.

106505892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106505892 is an abundant number, since it is smaller than the sum of its proper divisors (164129928).

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

106505892 is a wasteful number, since it uses less digits than its factorization.

106505892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15532 (or 15527 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 106505892 is about 10320.1691846597. The cubic root of 106505892 is about 474.0140464779.

The spelling of 106505892 in words is "one hundred six million, five hundred five thousand, eight hundred ninety-two".