105131241600 has 384 divisors, whose sum is σ = 431723796480. Its totient is φ = 21845299200.

The previous prime is 105131241557. The next prime is 105131241613. The reversal of 105131241600 is 6142131501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105131241600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 668089 + ... + 810311.

It is an arithmetic number, because the mean of its divisors is an integer number (1124280720).

Almost surely, 2^105131241600 is an apocalyptic number.

105131241600 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 105131241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215861898240).

105131241600 is an abundant number, since it is smaller than the sum of its proper divisors (326592554880).

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

105131241600 is a wasteful number, since it uses less digits than its factorization.

105131241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142268 (or 142251 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 105131241600 in words is "one hundred five billion, one hundred thirty-one million, two hundred forty-one thousand, six hundred".