106416312 has 32 divisors (see below), whose sum is σ = 275216400. Its totient is φ = 34248704.

The previous prime is 106416293. The next prime is 106416371. The reversal of 106416312 is 213614601.

It is a super-2 number, since 2×106416312² = 22648862919362688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75753 + ... + 77144.

Almost surely, 2^106416312 is an apocalyptic number.

106416312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106416312 is an abundant number, since it is smaller than the sum of its proper divisors (168800088).

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

106416312 is a wasteful number, since it uses less digits than its factorization.

106416312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152935 (or 152931 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106416312 is about 10315.8282265652. The cubic root of 106416312 is about 473.8811145880.

The spelling of 106416312 in words is "one hundred six million, four hundred sixteen thousand, three hundred twelve".