106100010500 has 96 divisors (see below), whose sum is σ = 252909191808. Its totient is φ = 38563344000.

The previous prime is 106100010439. The next prime is 106100010521. The reversal of 106100010500 is 5010001601.

It is a super-2 number, since 2×106100010500² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17525474 + ... + 17531526.

It is an arithmetic number, because the mean of its divisors is an integer number (2634470748).

Almost surely, 2^106100010500 is an apocalyptic number.

106100010500 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 106100010500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126454595904).

106100010500 is an abundant number, since it is smaller than the sum of its proper divisors (146809181308).

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

106100010500 is a wasteful number, since it uses less digits than its factorization.

106100010500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9270 (or 9258 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The spelling of 106100010500 in words is "one hundred six billion, one hundred million, ten thousand, five hundred".