100599840 has 384 divisors, whose sum is σ = 402796800. Its totient is φ = 23224320.

The previous prime is 100599839. The next prime is 100599853. The reversal of 100599840 is 48995001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100599795 and 100599804.

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, 1378044 + ... + 1378116.

It is an arithmetic number, because the mean of its divisors is an integer number (1048950).

Almost surely, 2^100599840 is an apocalyptic number.

100599840 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 100599840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201398400).

100599840 is an abundant number, since it is smaller than the sum of its proper divisors (302196960).

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

100599840 is a wasteful number, since it uses less digits than its factorization.

100599840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 100599840 is about 10029.9471583852. The cubic root of 100599840 is about 465.0851040904.

The spelling of 100599840 in words is "one hundred million, five hundred ninety-nine thousand, eight hundred forty".