100355757840 has 320 divisors, whose sum is σ = 372656148480. Its totient is φ = 24676669440.

The previous prime is 100355757751. The next prime is 100355757847. The reversal of 100355757840 is 48757553001.

It is a happy number.

100355757840 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 5 + 575 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (100355757847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47538385 + ... + 47540495.

It is an arithmetic number, because the mean of its divisors is an integer number (1164550464).

Almost surely, 2^100355757840 is an apocalyptic number.

100355757840 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 100355757840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186328074240).

100355757840 is an abundant number, since it is smaller than the sum of its proper divisors (272300390640).

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

100355757840 is a wasteful number, since it uses less digits than its factorization.

100355757840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 100355757840 in words is "one hundred billion, three hundred fifty-five million, seven hundred fifty-seven thousand, eight hundred forty".