106115750 has 64 divisors (see below), whose sum is σ = 216687744. Its totient is φ = 38678400.

The previous prime is 106115731. The next prime is 106115753. The reversal of 106115750 is 57511601.

106115750 is nontrivially palindromic in base 12.

It is a super-2 number, since 2×106115750² = 22521104796125000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334592 + ... + 334908.

It is an arithmetic number, because the mean of its divisors is an integer number (3385746).

Almost surely, 2^106115750 is an apocalyptic number.

106115750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106115750 is an abundant number, since it is smaller than the sum of its proper divisors (110571994).

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

106115750 is a wasteful number, since it uses less digits than its factorization.

106115750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

The square root of 106115750 is about 10301.2499241597. The cubic root of 106115750 is about 473.4345509697.

It can be divided in two parts, 10611 and 5750, that added together give a palindrome (16361).

The spelling of 106115750 in words is "one hundred six million, one hundred fifteen thousand, seven hundred fifty".