106577325 has 36 divisors (see below), whose sum is σ = 192019828. Its totient is φ = 56505600.

The previous prime is 106577311. The next prime is 106577357. The reversal of 106577325 is 523775601.

It can be written as a sum of positive squares in 6 ways, for example, as 2965284 + 103612041 = 1722^2 + 10179^2 .

It is not a de Polignac number, because 106577325 - 2¹⁹ = 106053037 is a prime.

It is a super-2 number, since 2×106577325² = 22717452408311250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106577325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39417 + ... + 42033.

Almost surely, 2^106577325 is an apocalyptic number.

106577325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106577325 is a deficient number, since it is larger than the sum of its proper divisors (85442503).

106577325 is a wasteful number, since it uses less digits than its factorization.

106577325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 106577325 is about 10323.6294489874. The cubic root of 106577325 is about 474.1199957908.

The spelling of 106577325 in words is "one hundred six million, five hundred seventy-seven thousand, three hundred twenty-five".