106931952 has 60 divisors (see below), whose sum is σ = 304929144. Its totient is φ = 34968960.

The previous prime is 106931947. The next prime is 106931969. The reversal of 106931952 is 259139601.

It is a super-2 number, since 2×106931952² = 22868884717060608, 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627 + ... + 14637.

Almost surely, 2^106931952 is an apocalyptic number.

106931952 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 106931952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152464572).

106931952 is an abundant number, since it is smaller than the sum of its proper divisors (197997192).

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

106931952 is a wasteful number, since it uses less digits than its factorization.

106931952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14078 (or 14069 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 106931952 is about 10340.7906854360. The cubic root of 106931952 is about 474.6452782869.

The spelling of 106931952 in words is "one hundred six million, nine hundred thirty-one thousand, nine hundred fifty-two".