100106061000 has 128 divisors (see below), whose sum is σ = 340724741760. Its totient is φ = 24268128000.

The previous prime is 100106060983. The next prime is 100106061001. The reversal of 100106061000 is 160601001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100106061001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1483759 + ... + 1549758.

It is an arithmetic number, because the mean of its divisors is an integer number (2661912045).

Almost surely, 2^100106061000 is an apocalyptic number.

100106061000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100106061000 is an abundant number, since it is smaller than the sum of its proper divisors (240618680760).

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

100106061000 is a wasteful number, since it uses less digits than its factorization.

100106061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033552 (or 3033538 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100106061000 its reverse (160601001), we get a palindrome (100266662001).

The spelling of 100106061000 in words is "one hundred billion, one hundred six million, sixty-one thousand".