106311492 has 72 divisors (see below), whose sum is σ = 308433216. Its totient is φ = 30245184.

The previous prime is 106311487. The next prime is 106311521. The reversal of 106311492 is 294113601.

106311492 is a `hidden beast` number, since 10 + 631 + 14 + 9 + 2 = 666.

It is a super-2 number, since 2×106311492² = 22604266662532128, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 69043 + ... + 70565.

Almost surely, 2^106311492 is an apocalyptic number.

106311492 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 106311492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154216608).

106311492 is an abundant number, since it is smaller than the sum of its proper divisors (202121724).

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

106311492 is a wasteful number, since it uses less digits than its factorization.

106311492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106311492 is about 10310.7464327274. The cubic root of 106311492 is about 473.7254726083.

The spelling of 106311492 in words is "one hundred six million, three hundred eleven thousand, four hundred ninety-two".