100466730 has 320 divisors, whose sum is σ = 351267840. Its totient is φ = 20030976.

The previous prime is 100466713. The next prime is 100466767. The reversal of 100466730 is 37664001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100466694 and 100466703.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2137567 + ... + 2137613.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2^100466730 is an apocalyptic number.

100466730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100466730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

100466730 is an abundant number, since it is smaller than the sum of its proper divisors (250801110).

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

100466730 is a wasteful number, since it uses less digits than its factorization.

100466730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 100466730 is about 10023.3093337480. The cubic root of 100466730 is about 464.8798857293.

The spelling of 100466730 in words is "one hundred million, four hundred sixty-six thousand, seven hundred thirty".