101628261520 has 40 divisors (see below), whose sum is σ = 236318412600. Its totient is φ = 40645678080.

The previous prime is 101628261509. The next prime is 101628261533. The reversal of 101628261520 is 25162826101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39663112336 + 61965149184 = 199156^2 + 248928^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519780 + ... + 688060.

It is an arithmetic number, because the mean of its divisors is an integer number (5907960315).

Almost surely, 2^101628261520 is an apocalyptic number.

101628261520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101628261520 is an abundant number, since it is smaller than the sum of its proper divisors (134690151080).

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

101628261520 is a wasteful number, since it uses less digits than its factorization.

101628261520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175843 (or 175837 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 101628261520 in words is "one hundred one billion, six hundred twenty-eight million, two hundred sixty-one thousand, five hundred twenty".