103927496400 has 1080 divisors, whose sum is σ = 466169198976. Its totient is φ = 20954419200.

The previous prime is 103927496399. The next prime is 103927496401. The reversal of 103927496400 is 4694729301.

It is a happy number.

103927496400 is a `hidden beast` number, since 1 + 0 + 3 + 92 + 74 + 96 + 400 = 666.

103927496400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103927496399) and next prime (103927496401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103927496401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 97951870 + ... + 97952930.

Almost surely, 2^103927496400 is an apocalyptic number.

103927496400 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 103927496400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233084599488).

103927496400 is an abundant number, since it is smaller than the sum of its proper divisors (362241702576).

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

103927496400 is a wasteful number, since it uses less digits than its factorization.

103927496400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 103927496400 in words is "one hundred three billion, nine hundred twenty-seven million, four hundred ninety-six thousand, four hundred".