105400680 has 384 divisors, whose sum is σ = 427472640. Its totient is φ = 20275200.

The previous prime is 105400667. The next prime is 105400681. The reversal of 105400680 is 86004501.

It is a super-2 number, since 2×105400680² = 22218606688924800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105400680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105400681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1727850 + ... + 1727910.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^105400680 is an apocalyptic number.

105400680 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 105400680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

105400680 is an abundant number, since it is smaller than the sum of its proper divisors (322071960).

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

105400680 is a wasteful number, since it uses less digits than its factorization.

105400680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105400680 is about 10266.4833316964. The cubic root of 105400680 is about 472.3687270047.

The spelling of 105400680 in words is "one hundred five million, four hundred thousand, six hundred eighty".