103402902705840 has 240 divisors, whose sum is σ = 358572047348736. Its totient is φ = 26676531878400.

The previous prime is 103402902705769. The next prime is 103402902705863. The reversal of 103402902705840 is 48507209204301.

103402902705840 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 0 + 290 + 270 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73111795 + ... + 74512685.

Almost surely, 2^{103402902705840} is an apocalyptic number.

103402902705840 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 103402902705840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179286023674368).

103402902705840 is an abundant number, since it is smaller than the sum of its proper divisors (255169144642896).

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

103402902705840 is a wasteful number, since it uses less digits than its factorization.

103402902705840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404248 (or 1404239 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 103402902705840 in words is "one hundred three trillion, four hundred two billion, nine hundred two million, seven hundred five thousand, eight hundred forty".