106293792 has 192 divisors, whose sum is σ = 334430208. Its totient is φ = 29184000.

The previous prime is 106293791. The next prime is 106293821. The reversal of 106293792 is 297392601.

It is a super-2 number, since 2×106293792² = 22596740435478528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106293792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106293791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556417 + ... + 556607.

It is an arithmetic number, because the mean of its divisors is an integer number (1741824).

Almost surely, 2^106293792 is an apocalyptic number.

106293792 is a gapful number since it is divisible by the number (12) 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 106293792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167215104).

106293792 is an abundant number, since it is smaller than the sum of its proper divisors (228136416).

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

106293792 is a wasteful number, since it uses less digits than its factorization.

106293792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 106293792 is about 10309.8880692275. Note that the first 3 decimals coincide. The cubic root of 106293792 is about 473.6991806679.

The spelling of 106293792 in words is "one hundred six million, two hundred ninety-three thousand, seven hundred ninety-two".