106942176 has 72 divisors (see below), whose sum is σ = 331773624. Its totient is φ = 32405760.

The previous prime is 106942159. The next prime is 106942193. The reversal of 106942176 is 671249601.

It is an interprime number because it is at equal distance from previous prime (106942159) and next prime (106942193).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106942176² = 22873258015229952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106942176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13711 + ... + 20046.

It is an arithmetic number, because the mean of its divisors is an integer number (4607967).

Almost surely, 2^106942176 is an apocalyptic number.

106942176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106942176 is an abundant number, since it is smaller than the sum of its proper divisors (224831448).

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

106942176 is a wasteful number, since it uses less digits than its factorization.

106942176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33784 (or 33773 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 106942176 is about 10341.2850265332. The cubic root of 106942176 is about 474.6604050991.

The spelling of 106942176 in words is "one hundred six million, nine hundred forty-two thousand, one hundred seventy-six".