100393655040 has 1440 divisors, whose sum is σ = 444470906880. Its totient is φ = 21116878848.

The previous prime is 100393654979. The next prime is 100393655051. The reversal of 100393655040 is 40556393001.

100393655040 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 93 + 65 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 100393654986 and 100393655004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 974695629 + ... + 974695731.

It is an arithmetic number, because the mean of its divisors is an integer number (308660352).

Almost surely, 2^100393655040 is an apocalyptic number.

100393655040 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 100393655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222235453440).

100393655040 is an abundant number, since it is smaller than the sum of its proper divisors (344077251840).

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

100393655040 is a wasteful number, since it uses less digits than its factorization.

100393655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 100393655040 in words is "one hundred billion, three hundred ninety-three million, six hundred fifty-five thousand, forty".