103626860198400 has 8640 divisors, whose sum is σ = 539508822082560. Its totient is φ = 19221376204800.

The previous prime is 103626860198383. The next prime is 103626860198413. The reversal of 103626860198400 is 4891068626301.

103626860198400 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 26 + 8 + 601 + 9 + 8 + 4 + 0 + 0 = 666.

103626860198400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a super-3 number, since 3×103626860198400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1546669555167 + ... + 1546669555233.

It is an arithmetic number, because the mean of its divisors is an integer number (62443150704).

Almost surely, 2^{103626860198400} is an apocalyptic number.

103626860198400 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 103626860198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269754411041280).

103626860198400 is an abundant number, since it is smaller than the sum of its proper divisors (435881961884160).

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

103626860198400 is a wasteful number, since it uses less digits than its factorization.

103626860198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 103626860198400 in words is "one hundred three trillion, six hundred twenty-six billion, eight hundred sixty million, one hundred ninety-eight thousand, four hundred".