100394157248 has 112 divisors (see below), whose sum is σ = 253447296000. Its totient is φ = 39114512640.

The previous prime is 100394157233. The next prime is 100394157251. The reversal of 100394157248 is 842751493001.

100394157248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 100394157199 and 100394157208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33593 + ... + 449351.

Almost surely, 2^100394157248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100394157248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126723648000).

100394157248 is an abundant number, since it is smaller than the sum of its proper divisors (153053138752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100394157248 is an equidigital number, since it uses as much as digits as its factorization.

100394157248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415803 (or 415779 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 100394157248 in words is "one hundred billion, three hundred ninety-four million, one hundred fifty-seven thousand, two hundred forty-eight".