103972001760 has 1152 divisors, whose sum is σ = 424399772160. Its totient is φ = 23804928000.

The previous prime is 103972001743. The next prime is 103972001773. The reversal of 103972001760 is 67100279301.

It is a happy number.

103972001760 is a `hidden beast` number, since 1 + 0 + 397 + 200 + 1 + 7 + 60 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1029425710 + ... + 1029425810.

It is an arithmetic number, because the mean of its divisors is an integer number (368402580).

Almost surely, 2^103972001760 is an apocalyptic number.

103972001760 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 103972001760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212199886080).

103972001760 is an abundant number, since it is smaller than the sum of its proper divisors (320427770400).

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

103972001760 is a wasteful number, since it uses less digits than its factorization.

103972001760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 103972001760 in words is "one hundred three billion, nine hundred seventy-two million, one thousand, seven hundred sixty".