106152770625 has 180 divisors, whose sum is σ = 206640791280. Its totient is φ = 48410560000.

The previous prime is 106152770621. The next prime is 106152770657. The reversal of 106152770625 is 526077251601.

It is a happy number.

It is not a de Polignac number, because 106152770625 - 2² = 106152770621 is a prime.

It is a super-2 number, since 2×106152770625² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106152770621) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 65566066 + ... + 65567684.

It is an arithmetic number, because the mean of its divisors is an integer number (1148004396).

Almost surely, 2^106152770625 is an apocalyptic number.

106152770625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106152770625 is a deficient number, since it is larger than the sum of its proper divisors (100488020655).

106152770625 is a wasteful number, since it uses less digits than its factorization.

106152770625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 106152770625 in words is "one hundred six billion, one hundred fifty-two million, seven hundred seventy thousand, six hundred twenty-five".