100393020 has 288 divisors, whose sum is σ = 390394368. Its totient is φ = 21088512.

The previous prime is 100393019. The next prime is 100393037. The reversal of 100393020 is 20393001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100392984 and 100393002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442147 + ... + 442373.

It is an arithmetic number, because the mean of its divisors is an integer number (1355536).

Almost surely, 2^100393020 is an apocalyptic number.

100393020 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 100393020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195197184).

100393020 is an abundant number, since it is smaller than the sum of its proper divisors (290001348).

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

100393020 is a wasteful number, since it uses less digits than its factorization.

100393020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 100393020 is about 10019.6317297593. The cubic root of 100393020 is about 464.7661675531.

The spelling of 100393020 in words is "one hundred million, three hundred ninety-three thousand, twenty".