106261875 has 50 divisors (see below), whose sum is σ = 198452100. Its totient is φ = 56646000.

The previous prime is 106261853. The next prime is 106261919. The reversal of 106261875 is 578162601.

106261875 is a `hidden beast` number, since 10 + 626 + 18 + 7 + 5 = 666.

It is not a de Polignac number, because 106261875 - 2¹³ = 106253683 is a prime.

It is a super-2 number, since 2×106261875² = 22583172157031250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 49576 + ... + 51674.

It is an arithmetic number, because the mean of its divisors is an integer number (3969042).

Almost surely, 2^106261875 is an apocalyptic number.

106261875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106261875 is a deficient number, since it is larger than the sum of its proper divisors (92190225).

106261875 is an frugal number, since it uses more digits than its factorization.

106261875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 106261875 is about 10308.3400700598. The cubic root of 106261875 is about 473.6517631283.

The spelling of 106261875 in words is "one hundred six million, two hundred sixty-one thousand, eight hundred seventy-five".