100142084620 has 48 divisors (see below), whose sum is σ = 225351691488. Its totient is φ = 37246315520.

The previous prime is 100142084611. The next prime is 100142084633. The reversal of 100142084620 is 26480241001.

100142084620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100142084620² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1746091 + ... + 1802530.

It is an arithmetic number, because the mean of its divisors is an integer number (4694826906).

Almost surely, 2^100142084620 is an apocalyptic number.

100142084620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100142084620 is an abundant number, since it is smaller than the sum of its proper divisors (125209606868).

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

100142084620 is a wasteful number, since it uses less digits than its factorization.

100142084620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548730 (or 3548728 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 100142084620 in words is "one hundred billion, one hundred forty-two million, eighty-four thousand, six hundred twenty".