106416192 has 56 divisors (see below), whose sum is σ = 298130976. Its totient is φ = 33384448.

The previous prime is 106416179. The next prime is 106416227. The reversal of 106416192 is 291614601.

It is a happy number.

It is a super-2 number, since 2×106416192² = 22648811839561728, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 13038 + ... + 19565.

Almost surely, 2^106416192 is an apocalyptic number.

106416192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106416192 is an abundant number, since it is smaller than the sum of its proper divisors (191714784).

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

106416192 is a wasteful number, since it uses less digits than its factorization.

106416192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32635 (or 32625 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 106416192 is about 10315.8224102589. The cubic root of 106416192 is about 473.8809364644.

The spelling of 106416192 in words is "one hundred six million, four hundred sixteen thousand, one hundred ninety-two".