103402051286688 has 432 divisors, whose sum is σ = 369830902371840. Its totient is φ = 26825225518080.

The previous prime is 103402051286621. The next prime is 103402051286731. The reversal of 103402051286688 is 886682150204301.

103402051286688 is a `hidden beast` number, since 1 + 0 + 3 + 40 + 2 + 0 + 512 + 8 + 6 + 6 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201967281 + ... + 202478607.

Almost surely, 2^{103402051286688} is an apocalyptic number.

103402051286688 is a gapful number since it is divisible by the number (18) 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 103402051286688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184915451185920).

103402051286688 is an abundant number, since it is smaller than the sum of its proper divisors (266428851085152).

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

103402051286688 is a wasteful number, since it uses less digits than its factorization.

103402051286688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512201 (or 512179 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 103402051286688 in words is "one hundred three trillion, four hundred two billion, fifty-one million, two hundred eighty-six thousand, six hundred eighty-eight".