100061665050 has 96 divisors (see below), whose sum is σ = 249413411520. Its totient is φ = 26547865600.

The previous prime is 100061665031. The next prime is 100061665061. The reversal of 100061665050 is 50566160001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100061664999 and 100061665017.

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 47 ways as a sum of consecutive naturals, for example, 44020714 + ... + 44022986.

It is an arithmetic number, because the mean of its divisors is an integer number (2598056370).

Almost surely, 2^100061665050 is an apocalyptic number.

100061665050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100061665050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124706705760).

100061665050 is an abundant number, since it is smaller than the sum of its proper divisors (149351746470).

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

100061665050 is a wasteful number, since it uses less digits than its factorization.

100061665050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 100061665050 in words is "one hundred billion, sixty-one million, six hundred sixty-five thousand, fifty".