106742416 has 40 divisors (see below), whose sum is σ = 227110464. Its totient is φ = 48197760.

The previous prime is 106742407. The next prime is 106742429. The reversal of 106742416 is 614247601.

It is a super-2 number, since 2×106742416² = 22787886747034112, 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, 25701 + ... + 29563.

Almost surely, 2^106742416 is an apocalyptic number.

106742416 is a gapful number since it is divisible by the number (16) 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 106742416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113555232).

106742416 is an abundant number, since it is smaller than the sum of its proper divisors (120368048).

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

106742416 is a wasteful number, since it uses less digits than its factorization.

106742416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 106742416 is about 10331.6221378833. The cubic root of 106742416 is about 474.3646774914.

The spelling of 106742416 in words is "one hundred six million, seven hundred forty-two thousand, four hundred sixteen".