106477020 has 72 divisors (see below), whose sum is σ = 347832576. Its totient is φ = 26209152.

The previous prime is 106476991. The next prime is 106477037. The reversal of 106477020 is 20774601.

106477020 = 1612² + 1613² + ... + 1651².

106477020 is a `hidden beast` number, since 10 + 647 + 7 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×106477020² = 22674711576160800, 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 23 ways as a sum of consecutive naturals, for example, 20412 + ... + 25091.

It is an arithmetic number, because the mean of its divisors is an integer number (4831008).

Almost surely, 2^106477020 is an apocalyptic number.

106477020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106477020 is an abundant number, since it is smaller than the sum of its proper divisors (241355556).

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

106477020 is a wasteful number, since it uses less digits than its factorization.

106477020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45531 (or 45526 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 106477020 is about 10318.7702755706. The cubic root of 106477020 is about 473.9712101298.

The spelling of 106477020 in words is "one hundred six million, four hundred seventy-seven thousand, twenty".