100653605130 has 128 divisors (see below), whose sum is σ = 271593907200. Its totient is φ = 23702160384.

The previous prime is 100653605111. The next prime is 100653605137. The reversal of 100653605130 is 31506356001.

It is a super-2 number, since 2×100653605130² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (100653605137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1191967 + ... + 1273613.

It is an arithmetic number, because the mean of its divisors is an integer number (2121827400).

Almost surely, 2^100653605130 is an apocalyptic number.

100653605130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100653605130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135796953600).

100653605130 is an abundant number, since it is smaller than the sum of its proper divisors (170940302070).

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

100653605130 is a wasteful number, since it uses less digits than its factorization.

100653605130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81808.

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 100653605130 in words is "one hundred billion, six hundred fifty-three million, six hundred five thousand, one hundred thirty".