106942464 has 104 divisors (see below), whose sum is σ = 317155520. Its totient is φ = 35610624.

The previous prime is 106942447. The next prime is 106942471. The reversal of 106942464 is 464249601.

106942464 is a `hidden beast` number, since 106 + 94 + 2 + 464 = 666.

It is a super-2 number, since 2×106942464² = 22873381212782592, which contains 22 as substring.

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

It is a congruent number.

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, 110109 + ... + 111075.

Almost surely, 2^106942464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158577760).

106942464 is an abundant number, since it is smaller than the sum of its proper divisors (210213056).

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

106942464 is an frugal number, since it uses more digits than its factorization.

106942464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 106942464 is about 10341.2989512923. The cubic root of 106942464 is about 474.6608311926.

The spelling of 106942464 in words is "one hundred six million, nine hundred forty-two thousand, four hundred sixty-four".