106072575 has 48 divisors (see below), whose sum is σ = 207367680. Its totient is φ = 46811520.

The previous prime is 106072553. The next prime is 106072579. The reversal of 106072575 is 575270601.

It is not a de Polignac number, because 106072575 - 2⁵ = 106072543 is a prime.

It is a super-2 number, since 2×106072575² = 22502782334261250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106072579) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11742 + ... + 18708.

It is an arithmetic number, because the mean of its divisors is an integer number (4320160).

Almost surely, 2^106072575 is an apocalyptic number.

106072575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106072575 is a deficient number, since it is larger than the sum of its proper divisors (101295105).

106072575 is a wasteful number, since it uses less digits than its factorization.

106072575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 106072575 is about 10299.1540914776. The cubic root of 106072575 is about 473.3703339565.

The spelling of 106072575 in words is "one hundred six million, seventy-two thousand, five hundred seventy-five".