106461720 has 48 divisors (see below), whose sum is σ = 346001760. Its totient is φ = 28389696.

The previous prime is 106461713. The next prime is 106461737. The reversal of 106461720 is 27164601.

106461720 is a `hidden beast` number, since 1 + 0 + 646 + 17 + 2 + 0 = 666.

It is a super-2 number, since 2×106461720² = 22668195650716800, which contains 22 as substring.

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, 147504 + ... + 148223.

It is an arithmetic number, because the mean of its divisors is an integer number (7208370).

Almost surely, 2^106461720 is an apocalyptic number.

106461720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106461720 is an abundant number, since it is smaller than the sum of its proper divisors (239540040).

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

106461720 is a wasteful number, since it uses less digits than its factorization.

106461720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295744 (or 295737 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106461720 is about 10318.0288815258. The cubic root of 106461720 is about 473.9485069309.

The spelling of 106461720 in words is "one hundred six million, four hundred sixty-one thousand, seven hundred twenty".