106953640 has 32 divisors (see below), whose sum is σ = 242494560. Its totient is φ = 42452800.

The previous prime is 106953601. The next prime is 106953659. The reversal of 106953640 is 46359601.

It is a super-2 number, since 2×106953640² = 22878162218499200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106953596 and 106953605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4966 + ... + 15445.

It is an arithmetic number, because the mean of its divisors is an integer number (7577955).

Almost surely, 2^106953640 is an apocalyptic number.

106953640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106953640 is an abundant number, since it is smaller than the sum of its proper divisors (135540920).

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

106953640 is a wasteful number, since it uses less digits than its factorization.

106953640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20553 (or 20549 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 106953640 is about 10341.8392948257. The cubic root of 106953640 is about 474.6773653938.

The spelling of 106953640 in words is "one hundred six million, nine hundred fifty-three thousand, six hundred forty".