107952217793901 has 64 divisors (see below), whose sum is σ = 174352621443840. Its totient is φ = 65614394476800.

The previous prime is 107952217793873. The next prime is 107952217793941. The reversal of 107952217793901 is 109397712259701.

107952217793901 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 522 + 1 + 7 + 79 + 39 + 0 + 1 = 666.

It is not a de Polignac number, because 107952217793901 - 2¹⁹ = 107952217269613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107952217793941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110130051 + ... + 111105951.

It is an arithmetic number, because the mean of its divisors is an integer number (2724259710060).

Almost surely, 2^{107952217793901} is an apocalyptic number.

It is an amenable number.

107952217793901 is a deficient number, since it is larger than the sum of its proper divisors (66400403649939).

107952217793901 is a wasteful number, since it uses less digits than its factorization.

107952217793901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979803 (or 979797 counting only the distinct ones).

The product of its (nonzero) digits is 15002820, while the sum is 63.

The spelling of 107952217793901 in words is "one hundred seven trillion, nine hundred fifty-two billion, two hundred seventeen million, seven hundred ninety-three thousand, nine hundred one".