106953840 has 120 divisors (see below), whose sum is σ = 410518368. Its totient is φ = 24445440.

The previous prime is 106953829. The next prime is 106953859. The reversal of 106953840 is 48359601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106953840² = 22878247781491200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106953795 and 106953804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5571 + ... + 15650.

Almost surely, 2^106953840 is an apocalyptic number.

106953840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106953840 is an abundant number, since it is smaller than the sum of its proper divisors (303564528).

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

106953840 is a wasteful number, since it uses less digits than its factorization.

106953840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21247 (or 21238 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 106953840 is about 10341.8489642810. The cubic root of 106953840 is about 474.6776612710.

It can be divided in two parts, 10695 and 3840, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 106953840 in words is "one hundred six million, nine hundred fifty-three thousand, eight hundred forty".