101108528640 has 1440 divisors, whose sum is σ = 440125830144. Its totient is φ = 22156001280.

The previous prime is 101108528603. The next prime is 101108528663. The reversal of 101108528640 is 46825801101.

101108528640 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 8 + 5 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101108528595 and 101108528604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 944939467 + ... + 944939573.

Almost surely, 2^101108528640 is an apocalyptic number.

101108528640 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 101108528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220062915072).

101108528640 is an abundant number, since it is smaller than the sum of its proper divisors (339017301504).

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

101108528640 is an equidigital number, since it uses as much as digits as its factorization.

101108528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 101108528640 in words is "one hundred one billion, one hundred eight million, five hundred twenty-eight thousand, six hundred forty".