105195015744 has 896 divisors, whose sum is σ = 382341120000. Its totient is φ = 25263415296.

The previous prime is 105195015727. The next prime is 105195015767. The reversal of 105195015744 is 447510591501.

It is a super-2 number, since 2×105195015744² (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 junction number, because it is equal to n+sod(n) for n = 105195015696 and 105195015705.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 471726417 + ... + 471726639.

It is an arithmetic number, because the mean of its divisors is an integer number (426720000).

Almost surely, 2^105195015744 is an apocalyptic number.

105195015744 is a gapful number since it is divisible by the number (14) 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 105195015744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191170560000).

105195015744 is an abundant number, since it is smaller than the sum of its proper divisors (277146104256).

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

105195015744 is a wasteful number, since it uses less digits than its factorization.

105195015744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 42.

The spelling of 105195015744 in words is "one hundred five billion, one hundred ninety-five million, fifteen thousand, seven hundred forty-four".