100948258389 has 32 divisors (see below), whose sum is σ = 154931212800. Its totient is φ = 57822240960.

The previous prime is 100948258387. The next prime is 100948258393. The reversal of 100948258389 is 983852849001.

It is a happy number.

It is not a de Polignac number, because 100948258389 - 2¹ = 100948258387 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100948258387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70587 + ... + 454839.

It is an arithmetic number, because the mean of its divisors is an integer number (4841600400).

Almost surely, 2^100948258389 is an apocalyptic number.

100948258389 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100948258389 is a deficient number, since it is larger than the sum of its proper divisors (53982954411).

100948258389 is a wasteful number, since it uses less digits than its factorization.

100948258389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384705.

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 100948258389 in words is "one hundred billion, nine hundred forty-eight million, two hundred fifty-eight thousand, three hundred eighty-nine".