100610142560 has 96 divisors (see below), whose sum is σ = 254501714880. Its totient is φ = 37451087872.

The previous prime is 100610142533. The next prime is 100610142583. The reversal of 100610142560 is 65241016001.

It is a congruent number.

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, 34277 + ... + 449883.

It is an arithmetic number, because the mean of its divisors is an integer number (2651059530).

Almost surely, 2^100610142560 is an apocalyptic number.

100610142560 is a gapful number since it is divisible by the number (10) 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 100610142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127250857440).

100610142560 is an abundant number, since it is smaller than the sum of its proper divisors (153891572320).

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

100610142560 is a wasteful number, since it uses less digits than its factorization.

100610142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415728 (or 415720 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 100610142560 its reverse (65241016001), we get a palindrome (165851158561).

The spelling of 100610142560 in words is "one hundred billion, six hundred ten million, one hundred forty-two thousand, five hundred sixty".