106577361 has 24 divisors (see below), whose sum is σ = 168648480. Its totient is φ = 64320000.

The previous prime is 106577357. The next prime is 106577363. The reversal of 106577361 is 163775601.

It is not a de Polignac number, because 106577361 - 2² = 106577357 is a prime.

It is a super-2 number, since 2×106577361² = 22717467755448642, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106577363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22705 + ... + 26993.

It is an arithmetic number, because the mean of its divisors is an integer number (7027020).

Almost surely, 2^106577361 is an apocalyptic number.

106577361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106577361 is a deficient number, since it is larger than the sum of its proper divisors (62071119).

106577361 is a wasteful number, since it uses less digits than its factorization.

106577361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 106577361 is about 10323.6311925601. The cubic root of 106577361 is about 474.1200491740.

The spelling of 106577361 in words is "one hundred six million, five hundred seventy-seven thousand, three hundred sixty-one".