101098902960 has 240 divisors, whose sum is σ = 370782696960. Its totient is φ = 24482818560.

The previous prime is 101098902959. The next prime is 101098902979. The reversal of 101098902960 is 69209890101.

101098902960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8064217 + ... + 8076743.

It is an arithmetic number, because the mean of its divisors is an integer number (1544927904).

Almost surely, 2^101098902960 is an apocalyptic number.

101098902960 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 101098902960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185391348480).

101098902960 is an abundant number, since it is smaller than the sum of its proper divisors (269683794000).

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

101098902960 is a wasteful number, since it uses less digits than its factorization.

101098902960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13576 (or 13567 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 101098902960 in words is "one hundred one billion, ninety-eight million, nine hundred two thousand, nine hundred sixty".