106115752 has 32 divisors (see below), whose sum is σ = 204703200. Its totient is φ = 51548224.

The previous prime is 106115731. The next prime is 106115753. The reversal of 106115752 is 257511601.

It is a super-2 number, since 2×106115752² = 22521105645051008, 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 106115752.

It is not an unprimeable number, because it can be changed into a prime (106115753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44199 + ... + 46537.

It is an arithmetic number, because the mean of its divisors is an integer number (6396975).

Almost surely, 2^106115752 is an apocalyptic number.

It is an amenable number.

106115752 is a deficient number, since it is larger than the sum of its proper divisors (98587448).

106115752 is a wasteful number, since it uses less digits than its factorization.

106115752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 106115752 is about 10301.2500212353. The cubic root of 106115752 is about 473.4345539441.

The spelling of 106115752 in words is "one hundred six million, one hundred fifteen thousand, seven hundred fifty-two".