100105606020 has 288 divisors, whose sum is σ = 341218563840. Its totient is φ = 21476597760.

The previous prime is 100105606009. The next prime is 100105606031. The reversal of 100105606020 is 20606501001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100105606009) and next prime (100105606031).

It is a super-2 number, since 2×100105606020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 55955286 + ... + 55957074.

It is an arithmetic number, because the mean of its divisors is an integer number (1184786680).

Almost surely, 2^100105606020 is an apocalyptic number.

100105606020 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 100105606020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170609281920).

100105606020 is an abundant number, since it is smaller than the sum of its proper divisors (241112957820).

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

100105606020 is a wasteful number, since it uses less digits than its factorization.

100105606020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 100105606020 in words is "one hundred billion, one hundred five million, six hundred six thousand, twenty".