106135920 has 200 divisors, whose sum is σ = 402407280. Its totient is φ = 25712640.

The previous prime is 106135907. The next prime is 106135963. The reversal of 106135920 is 29531601.

106135920 is a `hidden beast` number, since 10 + 61 + 3 + 592 + 0 = 666.

It is a super-2 number, since 2×106135920² = 22529667028492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70536 + ... + 72024.

Almost surely, 2^106135920 is an apocalyptic number.

106135920 is a gapful number since it is divisible by the number (10) 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 106135920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201203640).

106135920 is an abundant number, since it is smaller than the sum of its proper divisors (296271360).

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

106135920 is a wasteful number, since it uses less digits than its factorization.

106135920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 106135920 is about 10302.2288850520. The cubic root of 106135920 is about 473.4645451661.

The spelling of 106135920 in words is "one hundred six million, one hundred thirty-five thousand, nine hundred twenty".