106392960 has 256 divisors, whose sum is σ = 387763200. Its totient is φ = 27555840.

The previous prime is 106392947. The next prime is 106392971. The reversal of 106392960 is 69293601.

106392960 is a `hidden beast` number, since 10 + 639 + 2 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×106392960² = 22638923875123200, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812095 + ... + 812225.

It is an arithmetic number, because the mean of its divisors is an integer number (1514700).

Almost surely, 2^106392960 is an apocalyptic number.

106392960 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 106392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193881600).

106392960 is an abundant number, since it is smaller than the sum of its proper divisors (281370240).

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

106392960 is a wasteful number, since it uses less digits than its factorization.

106392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 106392960 is about 10314.6963115741. The cubic root of 106392960 is about 473.8464492216.

The spelling of 106392960 in words is "one hundred six million, three hundred ninety-two thousand, nine hundred sixty".