10091900 has 72 divisors (see below), whose sum is σ = 26977440. Its totient is φ = 3191040.

The previous prime is 10091899. The next prime is 10091909. The reversal of 10091900 is 919001.

It is a super-3 number, since 3×10091900³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10091909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8546 + ... + 9654.

Almost surely, 2^10091900 is an apocalyptic number.

10091900 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 10091900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13488720).

10091900 is an abundant number, since it is smaller than the sum of its proper divisors (16885540).

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

10091900 is a wasteful number, since it uses less digits than its factorization.

10091900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 10091900 is about 3176.7750943370. The cubic root of 10091900 is about 216.1014326985.

The spelling of 10091900 in words is "ten million, ninety-one thousand, nine hundred".