100612261520 has 40 divisors (see below), whose sum is σ = 234253574520. Its totient is φ = 40188119040.

The previous prime is 100612261499. The next prime is 100612261523. The reversal of 100612261520 is 25162216001.

It can be written as a sum of positive squares in 4 ways, for example, as 723394816 + 99888866704 = 26896^2 + 316052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 100612261520.

It is not an unprimeable number, because it can be changed into a prime (100612261523) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 830201 + ... + 943640.

It is an arithmetic number, because the mean of its divisors is an integer number (5856339363).

Almost surely, 2^100612261520 is an apocalyptic number.

100612261520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100612261520 is an abundant number, since it is smaller than the sum of its proper divisors (133641313000).

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

100612261520 is a wasteful number, since it uses less digits than its factorization.

100612261520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774563 (or 1774557 counting only the distinct ones).

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

Adding to 100612261520 its reverse (25162216001), we get a palindrome (125774477521).

The spelling of 100612261520 in words is "one hundred billion, six hundred twelve million, two hundred sixty-one thousand, five hundred twenty".