100344160550400 has 1920 divisors, whose sum is σ = 373710716983296. Its totient is φ = 23573613772800.

The previous prime is 100344160550377. The next prime is 100344160550407. The reversal of 100344160550400 is 4055061443001.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100344160550407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 273417331017 + ... + 273417331383.

Almost surely, 2^{100344160550400} is an apocalyptic number.

100344160550400 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 100344160550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186855358491648).

100344160550400 is an abundant number, since it is smaller than the sum of its proper divisors (273366556432896).

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

100344160550400 is a wasteful number, since it uses less digits than its factorization.

100344160550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

It can be divided in two parts, 100344 and 160550400, that multiplied together give a square (16110269337600 = 4013760²).

The spelling of 100344160550400 in words is "one hundred trillion, three hundred forty-four billion, one hundred sixty million, five hundred fifty thousand, four hundred".