103251020400 has 360 divisors, whose sum is σ = 407881858176. Its totient is φ = 23942054400.

The previous prime is 103251020393. The next prime is 103251020401. The reversal of 103251020400 is 4020152301.

103251020400 is a `hidden beast` number, since 10 + 3 + 251 + 0 + 2 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103251020401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 854119 + ... + 967481.

Almost surely, 2^103251020400 is an apocalyptic number.

103251020400 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 103251020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203940929088).

103251020400 is an abundant number, since it is smaller than the sum of its proper divisors (304630837776).

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

103251020400 is a wasteful number, since it uses less digits than its factorization.

103251020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113421 (or 113407 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 103251020400 its reverse (4020152301), we get a palindrome (107271172701).

The spelling of 103251020400 in words is "one hundred three billion, two hundred fifty-one million, twenty thousand, four hundred".