125961108100 has 27 divisors (see below), whose sum is σ = 273343306341. Its totient is φ = 50383023600.

The previous prime is 125961108089. The next prime is 125961108107. The reversal of 125961108100 is 1801169521.

The square root of 125961108100 is 354910.

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., 45345998916 + 80615109184 = 212946^2 + 283928^2 .

It is a super-3 number, since 3×125961108100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125961108107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3531355 + ... + 3566845.

Almost surely, 2^125961108100 is an apocalyptic number.

125961108100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125961108100 is the 354910-th square number.

It is an amenable number.

125961108100 is an abundant number, since it is smaller than the sum of its proper divisors (147382198241).

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

125961108100 is an frugal number, since it uses more digits than its factorization.

125961108100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70996 (or 35498 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 34.

The spelling of 125961108100 in words is "one hundred twenty-five billion, nine hundred sixty-one million, one hundred eight thousand, one hundred".