189793100 has 144 divisors (see below), whose sum is σ = 511842240. Its totient is φ = 59596800.

The previous prime is 189793073. The next prime is 189793103. The reversal of 189793100 is 1397981.

It is a super-2 number, since 2×189793100² = 72042841615220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (189793103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487706 + ... + 488094.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^189793100 is an apocalyptic number.

189793100 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 189793100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

189793100 is an abundant number, since it is smaller than the sum of its proper divisors (322049140).

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

189793100 is a wasteful number, since it uses less digits than its factorization.

189793100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 38.

The square root of 189793100 is about 13776.5416560180. The cubic root of 189793100 is about 574.6809572251.

The spelling of 189793100 in words is "one hundred eighty-nine million, seven hundred ninety-three thousand, one hundred".