100275373440 has 512 divisors, whose sum is σ = 388503475200. Its totient is φ = 24241766400.

The previous prime is 100275373439. The next prime is 100275373493. The reversal of 100275373440 is 44373572001.

100275373440 is a `hidden beast` number, since 10 + 0 + 275 + 37 + 344 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 100275373395 and 100275373404.

It is a congruent number.

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, 121840869 + ... + 121841691.

It is an arithmetic number, because the mean of its divisors is an integer number (758795850).

Almost surely, 2^100275373440 is an apocalyptic number.

100275373440 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 100275373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194251737600).

100275373440 is an abundant number, since it is smaller than the sum of its proper divisors (288228101760).

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

100275373440 is a wasteful number, since it uses less digits than its factorization.

100275373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 100275373440 in words is "one hundred billion, two hundred seventy-five million, three hundred seventy-three thousand, four hundred forty".