103951416672000 has 864 divisors, whose sum is σ = 398044244707200. Its totient is φ = 25958419660800.

The previous prime is 103951416671939. The next prime is 103951416672023. The reversal of 103951416672000 is 276614159301.

103951416672000 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 514 + 1 + 66 + 72 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 974250654 + ... + 974357346.

It is an arithmetic number, because the mean of its divisors is an integer number (460699357300).

Almost surely, 2^{103951416672000} is an apocalyptic number.

103951416672000 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 103951416672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199022122353600).

103951416672000 is an abundant number, since it is smaller than the sum of its proper divisors (294092828035200).

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

103951416672000 is a wasteful number, since it uses less digits than its factorization.

103951416672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106946 (or 106919 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 103951416672000 in words is "one hundred three trillion, nine hundred fifty-one billion, four hundred sixteen million, six hundred seventy-two thousand".