101947108025 has 18 divisors (see below), whose sum is σ = 147053503710. Its totient is φ = 69906587520.

The previous prime is 101947108001. The next prime is 101947108079. The reversal of 101947108025 is 520801749101.

It can be written as a sum of positive squares in 3 ways, for example, as 2461747456 + 99485360569 = 49616^2 + 315413^2 .

It is not a de Polignac number, because 101947108025 - 2¹⁴ = 101947091641 is a prime.

It is a super-2 number, since 2×101947108025² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101947108025.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41609840 + ... + 41612289.

It is an arithmetic number, because the mean of its divisors is an integer number (8169639095).

Almost surely, 2^101947108025 is an apocalyptic number.

It is an amenable number.

101947108025 is a deficient number, since it is larger than the sum of its proper divisors (45106395685).

101947108025 is an equidigital number, since it uses as much as digits as its factorization.

101947108025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83222153 (or 83222141 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 38.

The spelling of 101947108025 in words is "one hundred one billion, nine hundred forty-seven million, one hundred eight thousand, twenty-five".