100295749953 has 12 divisors (see below), whose sum is σ = 165567587328. Its totient is φ = 57311857080.

The previous prime is 100295749877. The next prime is 100295749979. The reversal of 100295749953 is 359947592001.

100295749953 is a `hidden beast` number, since 10 + 0 + 2 + 9 + 574 + 9 + 9 + 53 = 666.

It is not a de Polignac number, because 100295749953 - 2¹² = 100295745857 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100295749953.

It is not an unprimeable number, because it can be changed into a prime (100295749153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795997953 + ... + 795998078.

It is an arithmetic number, because the mean of its divisors is an integer number (13797298944).

Almost surely, 2^100295749953 is an apocalyptic number.

It is an amenable number.

100295749953 is a deficient number, since it is larger than the sum of its proper divisors (65271837375).

100295749953 is a wasteful number, since it uses less digits than its factorization.

100295749953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591996044 (or 1591996041 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 100295749953 in words is "one hundred billion, two hundred ninety-five million, seven hundred forty-nine thousand, nine hundred fifty-three".