106158240 has 72 divisors (see below), whose sum is σ = 362269908. Its totient is φ = 28308480.

The previous prime is 106158223. The next prime is 106158253. The reversal of 106158240 is 42851601.

106158240 is a `hidden beast` number, since 1 + 0 + 615 + 8 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101848464 + 4309776 = 10092^2 + 2076^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106158240² = 22539143839795200, which contains 22 as substring.

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, 35421 + ... + 38300.

Almost surely, 2^106158240 is an apocalyptic number.

106158240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106158240 is an abundant number, since it is smaller than the sum of its proper divisors (256111668).

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

106158240 is a wasteful number, since it uses less digits than its factorization.

106158240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73742 (or 73731 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 106158240 is about 10303.3120888382. The cubic root of 106158240 is about 473.4977321335.

The spelling of 106158240 in words is "one hundred six million, one hundred fifty-eight thousand, two hundred forty".