100973600 has 288 divisors, whose sum is σ = 323729280. Its totient is φ = 29859840.

The previous prime is 100973599. The next prime is 100973617. The reversal of 100973600 is 6379001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 100973600.

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, 1383164 + ... + 1383236.

It is an arithmetic number, because the mean of its divisors is an integer number (1124060).

Almost surely, 2^100973600 is an apocalyptic number.

100973600 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 100973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161864640).

100973600 is an abundant number, since it is smaller than the sum of its proper divisors (222755680).

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

100973600 is a wasteful number, since it uses less digits than its factorization.

100973600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 100973600 is about 10048.5620861892. The cubic root of 100973600 is about 465.6603713201.

The spelling of 100973600 in words is "one hundred million, nine hundred seventy-three thousand, six hundred".