106057364 has 36 divisors (see below), whose sum is σ = 216498996. Its totient is φ = 45327744.

The previous prime is 106057331. The next prime is 106057433. The reversal of 106057364 is 463750601.

It can be written as a sum of positive squares in 2 ways, for example, as 40576900 + 65480464 = 6370^2 + 8092^2 .

It is a super-2 number, since 2×106057364² = 22496328917256992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106057364.

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, 120494 + ... + 121370.

It is an arithmetic number, because the mean of its divisors is an integer number (6013861).

Almost surely, 2^106057364 is an apocalyptic number.

106057364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106057364 is an abundant number, since it is smaller than the sum of its proper divisors (110441632).

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

106057364 is a wasteful number, since it uses less digits than its factorization.

106057364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 106057364 is about 10298.4156062960. The cubic root of 106057364 is about 473.3477054862.

The spelling of 106057364 in words is "one hundred six million, fifty-seven thousand, three hundred sixty-four".