106657762225 has 135 divisors (see below), whose sum is σ = 163220485419. Its totient is φ = 69131512800.

The previous prime is 106657762181. The next prime is 106657762229. The reversal of 106657762225 is 522267756601.

The square root of 106657762225 is 326585.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38396794401 + 68260967824 = 195951^2 + 261268^2 .

It is not a de Polignac number, because 106657762225 - 2¹¹ = 106657760177 is a prime.

It is a super-2 number, since 2×106657762225² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (106657762229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2480413054 + ... + 2480413096.

Almost surely, 2^106657762225 is an apocalyptic number.

106657762225 is the 326585-th square number.

106657762225 is the 163293-rd centered octagonal number.

It is an amenable number.

106657762225 is a deficient number, since it is larger than the sum of its proper divisors (56562723194).

106657762225 is an frugal number, since it uses more digits than its factorization.

106657762225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

Multiplying 106657762225 by its sum of digits (49), we get a square (5226230349025 = 2286095²).

106657762225 divided by its sum of digits (49) gives a square (2176689025 = 46655²).

The spelling of 106657762225 in words is "one hundred six billion, six hundred fifty-seven million, seven hundred sixty-two thousand, two hundred twenty-five".