100416502242 has 96 divisors (see below), whose sum is σ = 255556933632. Its totient is φ = 27899417952.

The previous prime is 100416502213. The next prime is 100416502247. The reversal of 100416502242 is 242205614001.

100416502242 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 650 + 2 + 2 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (100416502247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189063 + ... + 1270709.

It is an arithmetic number, because the mean of its divisors is an integer number (2662051392).

Almost surely, 2^100416502242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100416502242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127778466816).

100416502242 is an abundant number, since it is smaller than the sum of its proper divisors (155140431390).

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

100416502242 is a wasteful number, since it uses less digits than its factorization.

100416502242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81932 (or 81929 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 100416502242 in words is "one hundred billion, four hundred sixteen million, five hundred two thousand, two hundred forty-two".