100723983360 has 704 divisors, whose sum is σ = 432615665664. Its totient is φ = 19316736000.

The previous prime is 100723983341. The next prime is 100723983391. The reversal of 100723983360 is 63389327001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 15372085 + ... + 15378635.

Almost surely, 2^100723983360 is an apocalyptic number.

100723983360 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 100723983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216307832832).

100723983360 is an abundant number, since it is smaller than the sum of its proper divisors (331891682304).

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

100723983360 is a wasteful number, since it uses less digits than its factorization.

100723983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 100723983360 in words is "one hundred billion, seven hundred twenty-three million, nine hundred eighty-three thousand, three hundred sixty".