105160769840 has 240 divisors, whose sum is σ = 300017092320. Its totient is φ = 34085560320.

The previous prime is 105160769827. The next prime is 105160769849. The reversal of 105160769840 is 48967061501.

It is a super-2 number, since 2×105160769840² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105160769849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44165450 + ... + 44167830.

It is an arithmetic number, because the mean of its divisors is an integer number (1250071218).

Almost surely, 2^105160769840 is an apocalyptic number.

105160769840 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 105160769840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150008546160).

105160769840 is an abundant number, since it is smaller than the sum of its proper divisors (194856322480).

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

105160769840 is a wasteful number, since it uses less digits than its factorization.

105160769840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 105160769840 in words is "one hundred five billion, one hundred sixty million, seven hundred sixty-nine thousand, eight hundred forty".