105196415968 has 144 divisors (see below), whose sum is σ = 264626248320. Its totient is φ = 40854046464.

The previous prime is 105196415957. The next prime is 105196415971. The reversal of 105196415968 is 869514691501.

It is a happy number.

It is a super-2 number, since 2×105196415968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608455 + ... + 761977.

It is an arithmetic number, because the mean of its divisors is an integer number (1837682280).

Almost surely, 2^105196415968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105196415968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132313124160).

105196415968 is an abundant number, since it is smaller than the sum of its proper divisors (159429832352).

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

105196415968 is a wasteful number, since it uses less digits than its factorization.

105196415968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153589 (or 153574 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 55.

The spelling of 105196415968 in words is "one hundred five billion, one hundred ninety-six million, four hundred fifteen thousand, nine hundred sixty-eight".