103972294863360 has 3600 divisors, whose sum is σ = 501330240623520. Its totient is φ = 20462948352000.

The previous prime is 103972294863343. The next prime is 103972294863403. The reversal of 103972294863360 is 63368492279301.

103972294863360 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 7 + 2 + 294 + 8 + 6 + 336 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 23359309135 + ... + 23359313585.

Almost surely, 2^{103972294863360} is an apocalyptic number.

103972294863360 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 103972294863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250665120311760).

103972294863360 is an abundant number, since it is smaller than the sum of its proper divisors (397357945760160).

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

103972294863360 is a wasteful number, since it uses less digits than its factorization.

103972294863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 103972294863360 in words is "one hundred three trillion, nine hundred seventy-two billion, two hundred ninety-four million, eight hundred sixty-three thousand, three hundred sixty".