103665140400 has 180 divisors, whose sum is σ = 336836627336. Its totient is φ = 27253094400.

The previous prime is 103665140363. The next prime is 103665140401. The reversal of 103665140400 is 4041566301.

It is a super-2 number, since 2×103665140400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (103665140401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6040632 + ... + 6057768.

Almost surely, 2^103665140400 is an apocalyptic number.

103665140400 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 103665140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168418313668).

103665140400 is an abundant number, since it is smaller than the sum of its proper divisors (233171486936).

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

103665140400 is a wasteful number, since it uses less digits than its factorization.

103665140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17300 (or 17218 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 103665140400 in words is "one hundred three billion, six hundred sixty-five million, one hundred forty thousand, four hundred".