105969148725 has 48 divisors (see below), whose sum is σ = 192883458240. Its totient is φ = 50907571200.

The previous prime is 105969148721. The next prime is 105969148801. The reversal of 105969148725 is 527841969501.

It is a happy number.

It is not a de Polignac number, because 105969148725 - 2² = 105969148721 is a prime.

It is a super-2 number, since 2×105969148725² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105969148721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499284 + ... + 679133.

It is an arithmetic number, because the mean of its divisors is an integer number (4018405380).

Almost surely, 2^105969148725 is an apocalyptic number.

105969148725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105969148725 is a deficient number, since it is larger than the sum of its proper divisors (86914309515).

105969148725 is a wasteful number, since it uses less digits than its factorization.

105969148725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178550 (or 1178545 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The spelling of 105969148725 in words is "one hundred five billion, nine hundred sixty-nine million, one hundred forty-eight thousand, seven hundred twenty-five".