103257761200 has 120 divisors (see below), whose sum is σ = 271097023680. Its totient is φ = 37483372800.

The previous prime is 103257761197. The next prime is 103257761227. The reversal of 103257761200 is 2167752301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2562811 + ... + 2602789.

It is an arithmetic number, because the mean of its divisors is an integer number (2259141864).

Almost surely, 2^103257761200 is an apocalyptic number.

103257761200 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 103257761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135548511840).

103257761200 is an abundant number, since it is smaller than the sum of its proper divisors (167839262480).

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

103257761200 is a wasteful number, since it uses less digits than its factorization.

103257761200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40595 (or 40584 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 103257761200 in words is "one hundred three billion, two hundred fifty-seven million, seven hundred sixty-one thousand, two hundred".