103812840000 has 525 divisors, whose sum is σ = 386704423567. Its totient is φ = 27528768000.

The previous prime is 103812839989. The next prime is 103812840013. The reversal of 103812840000 is 48218301.

The square root of 103812840000 is 322200.

It is a perfect power (a square), and thus also a powerful number.

103812840000 is a `hidden beast` number, since 1 + 0 + 381 + 284 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8138926656 + 95673913344 = 90216^2 + 309312^2 .

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 579959911 + ... + 579960089.

Almost surely, 2^103812840000 is an apocalyptic number.

103812840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103812840000 is the 322200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103812840000

103812840000 is an abundant number, since it is smaller than the sum of its proper divisors (282891583567).

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

103812840000 is an frugal number, since it uses more digits than its factorization.

103812840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 103812840000 in words is "one hundred three billion, eight hundred twelve million, eight hundred forty thousand".