100280700 has 144 divisors (see below), whose sum is σ = 347304160. Its totient is φ = 24675840.

The previous prime is 100280681. The next prime is 100280729. The reversal of 100280700 is 7082001.

It is a super-3 number, since 3×100280700³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

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, 33672 + ... + 36528.

Almost surely, 2^100280700 is an apocalyptic number.

100280700 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 100280700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173652080).

100280700 is an abundant number, since it is smaller than the sum of its proper divisors (247023460).

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

100280700 is a wasteful number, since it uses less digits than its factorization.

100280700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 100280700 is about 10014.0251647377. The cubic root of 100280700 is about 464.5927756308.

The spelling of 100280700 in words is "one hundred million, two hundred eighty thousand, seven hundred".