106572460 has 24 divisors (see below), whose sum is σ = 224935200. Its totient is φ = 42413184.

The previous prime is 106572457. The next prime is 106572493. The reversal of 106572460 is 64275601.

It is a happy number.

It is a super-2 number, since 2×106572460² = 22715378460903200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9409 + ... + 17368.

It is an arithmetic number, because the mean of its divisors is an integer number (9372300).

Almost surely, 2^106572460 is an apocalyptic number.

106572460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106572460 is an abundant number, since it is smaller than the sum of its proper divisors (118362740).

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

106572460 is a wasteful number, since it uses less digits than its factorization.

106572460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26985 (or 26983 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 106572460 is about 10323.3938218010. The cubic root of 106572460 is about 474.1127815331.

The spelling of 106572460 in words is "one hundred six million, five hundred seventy-two thousand, four hundred sixty".