105213863040 has 512 divisors, whose sum is σ = 404687888640. Its totient is φ = 22905815040.

The previous prime is 105213863033. The next prime is 105213863059. The reversal of 105213863040 is 40368312501.

It is a super-2 number, since 2×105213863040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 105213862992 and 105213863010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10153542 + ... + 10163898.

Almost surely, 2^105213863040 is an apocalyptic number.

105213863040 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 105213863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202343944320).

105213863040 is an abundant number, since it is smaller than the sum of its proper divisors (299474025600).

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

105213863040 is a wasteful number, since it uses less digits than its factorization.

105213863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10440 (or 10428 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 105213863040 in words is "one hundred five billion, two hundred thirteen million, eight hundred sixty-three thousand, forty".