105091387800 has 288 divisors, whose sum is σ = 379459998720. Its totient is φ = 23989996800.

The previous prime is 105091387799. The next prime is 105091387801. The reversal of 105091387800 is 8783190501.

It is an interprime number because it is at equal distance from previous prime (105091387799) and next prime (105091387801).

It is a super-2 number, since 2×105091387800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105091387801) 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, 29133597 + ... + 29137203.

It is an arithmetic number, because the mean of its divisors is an integer number (1317569440).

Almost surely, 2^105091387800 is an apocalyptic number.

105091387800 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 105091387800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189729999360).

105091387800 is an abundant number, since it is smaller than the sum of its proper divisors (274368610920).

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

105091387800 is a wasteful number, since it uses less digits than its factorization.

105091387800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 105091387800 in words is "one hundred five billion, ninety-one million, three hundred eighty-seven thousand, eight hundred".