100123020 has 96 divisors (see below), whose sum is σ = 315571200. Its totient is φ = 26350272.

The previous prime is 100122977. The next prime is 100123039. The reversal of 100123020 is 20321001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100122993 and 100123011.

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, 41487 + ... + 43833.

It is an arithmetic number, because the mean of its divisors is an integer number (3287200).

Almost surely, 2^100123020 is an apocalyptic number.

100123020 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 100123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157785600).

100123020 is an abundant number, since it is smaller than the sum of its proper divisors (215448180).

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

100123020 is a wasteful number, since it uses less digits than its factorization.

100123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100123020 is about 10006.1491094227. The cubic root of 100123020 is about 464.3491414502.

Adding to 100123020 its reverse (20321001), we get a palindrome (120444021).

The spelling of 100123020 in words is "one hundred million, one hundred twenty-three thousand, twenty".