103951411200 has 1728 divisors, whose sum is σ = 477605681280. Its totient is φ = 21021327360.

The previous prime is 103951411171. The next prime is 103951411211. The reversal of 103951411200 is 2114159301.

It is a happy number.

103951411200 is a `hidden beast` number, since 1 + 0 + 39 + 514 + 112 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1551513567 + ... + 1551513633.

Almost surely, 2^103951411200 is an apocalyptic number.

103951411200 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 103951411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238802840640).

103951411200 is an abundant number, since it is smaller than the sum of its proper divisors (373654270080).

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

103951411200 is a wasteful number, since it uses less digits than its factorization.

103951411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 103951411200 in words is "one hundred three billion, nine hundred fifty-one million, four hundred eleven thousand, two hundred".