106754832 has 60 divisors (see below), whose sum is σ = 316346940. Its totient is φ = 33490944.

The previous prime is 106754827. The next prime is 106754867. The reversal of 106754832 is 238457601.

106754832 is a `hidden beast` number, since 106 + 7 + 548 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 65999376 = 6384^2 + 8124^2 .

It is a super-2 number, since 2×106754832² = 22793188310696448, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19357 + ... + 24252.

It is an arithmetic number, because the mean of its divisors is an integer number (5272449).

Almost surely, 2^106754832 is an apocalyptic number.

106754832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106754832 is an abundant number, since it is smaller than the sum of its proper divisors (209592108).

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

106754832 is a wasteful number, since it uses less digits than its factorization.

106754832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43640 (or 43631 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 106754832 is about 10332.2229941093. Note that the first 3 decimals coincide. The cubic root of 106754832 is about 474.3830690666.

The spelling of 106754832 in words is "one hundred six million, seven hundred fifty-four thousand, eight hundred thirty-two".