100189320 has 192 divisors, whose sum is σ = 381672000. Its totient is φ = 20805120.

The previous prime is 100189291. The next prime is 100189351. The reversal of 100189320 is 23981001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63906 + ... + 65454.

It is an arithmetic number, because the mean of its divisors is an integer number (1987875).

Almost surely, 2^100189320 is an apocalyptic number.

100189320 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 100189320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190836000).

100189320 is an abundant number, since it is smaller than the sum of its proper divisors (281482680).

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

100189320 is a wasteful number, since it uses less digits than its factorization.

100189320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 100189320 is about 10009.4615239782. The cubic root of 100189320 is about 464.4516139058.

It can be divided in two parts, 100 and 189320, that added together give a triangular number (189420 = T₆₁₅).

The spelling of 100189320 in words is "one hundred million, one hundred eighty-nine thousand, three hundred twenty".