103426968960 has 640 divisors, whose sum is σ = 423749240640. Its totient is φ = 23549460480.

The previous prime is 103426968949. The next prime is 103426968979. The reversal of 103426968960 is 69869624301.

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 a junction number, because it is equal to n+sod(n) for n = 103426968897 and 103426968906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 152772142 + ... + 152772818.

Almost surely, 2^103426968960 is an apocalyptic number.

103426968960 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 103426968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211874620320).

103426968960 is an abundant number, since it is smaller than the sum of its proper divisors (320322271680).

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

103426968960 is an equidigital number, since it uses as much as digits as its factorization.

103426968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 103426968960 in words is "one hundred three billion, four hundred twenty-six million, nine hundred sixty-eight thousand, nine hundred sixty".