100024067052 has 192 divisors, whose sum is σ = 320010485760. Its totient is φ = 26310106368.

The previous prime is 100024067047. The next prime is 100024067071. The reversal of 100024067052 is 250760420001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3750838 + ... + 3777410.

It is an arithmetic number, because the mean of its divisors is an integer number (1666721280).

Almost surely, 2^100024067052 is an apocalyptic number.

100024067052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100024067052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160005242880).

100024067052 is an abundant number, since it is smaller than the sum of its proper divisors (219986418708).

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

100024067052 is a wasteful number, since it uses less digits than its factorization.

100024067052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26989 (or 26981 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 100024067052 its reverse (250760420001), we get a palindrome (350784487053).

The spelling of 100024067052 in words is "one hundred billion, twenty-four million, sixty-seven thousand, fifty-two".