100748689920 has 640 divisors, whose sum is σ = 372381166080. Its totient is φ = 25798901760.

The previous prime is 100748689907. The next prime is 100748689931. The reversal of 100748689920 is 29986847001.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 206875917 + ... + 206876403.

It is an arithmetic number, because the mean of its divisors is an integer number (581845572).

Almost surely, 2^100748689920 is an apocalyptic number.

100748689920 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 100748689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186190583040).

100748689920 is an abundant number, since it is smaller than the sum of its proper divisors (271632476160).

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

100748689920 is an equidigital number, since it uses as much as digits as its factorization.

100748689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 100748689920 in words is "one hundred billion, seven hundred forty-eight million, six hundred eighty-nine thousand, nine hundred twenty".