10701040350 has 768 divisors, whose sum is σ = 39037501440. Its totient is φ = 1881792000.

The previous prime is 10701040333. The next prime is 10701040403. The reversal of 10701040350 is 5304010701.

It is a super-2 number, since 2×10701040350² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 345194835 + ... + 345194865.

It is an arithmetic number, because the mean of its divisors is an integer number (50830080).

Almost surely, 2^10701040350 is an apocalyptic number.

10701040350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10701040350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19518750720).

10701040350 is an abundant number, since it is smaller than the sum of its proper divisors (28336461090).

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

10701040350 is a wasteful number, since it uses less digits than its factorization.

10701040350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The spelling of 10701040350 in words is "ten billion, seven hundred one million, forty thousand, three hundred fifty".