106937532 has 72 divisors (see below), whose sum is σ = 294722064. Its totient is φ = 32495616.

The previous prime is 106937521. The next prime is 106937533. The reversal of 106937532 is 235739601.

It is a super-2 number, since 2×106937532² = 22871271500502048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106937533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37468 + ... + 40220.

It is an arithmetic number, because the mean of its divisors is an integer number (4093362).

Almost surely, 2^106937532 is an apocalyptic number.

106937532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106937532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147361032).

106937532 is an abundant number, since it is smaller than the sum of its proper divisors (187784532).

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

106937532 is a wasteful number, since it uses less digits than its factorization.

106937532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 106937532 is about 10341.0604872034. The cubic root of 106937532 is about 474.6535342370.

It can be divided in two parts, 10693 and 7532, that added together give a square (18225 = 135²).

The spelling of 106937532 in words is "one hundred six million, nine hundred thirty-seven thousand, five hundred thirty-two".