100298640 has 320 divisors, whose sum is σ = 371976192. Its totient is φ = 22118400.

The previous prime is 100298633. The next prime is 100298651. The reversal of 100298640 is 46892001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100298598 and 100298607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1644210 + ... + 1644270.

Almost surely, 2^100298640 is an apocalyptic number.

100298640 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 100298640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988096).

100298640 is an abundant number, since it is smaller than the sum of its proper divisors (271677552).

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

100298640 is a wasteful number, since it uses less digits than its factorization.

100298640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 100298640 is about 10014.9208683843. The cubic root of 100298640 is about 464.6204788593.

The spelling of 100298640 in words is "one hundred million, two hundred ninety-eight thousand, six hundred forty".