10101803040 has 288 divisors, whose sum is σ = 40359586176. Its totient is φ = 2252574720.

The previous prime is 10101803009. The next prime is 10101803051. The reversal of 10101803040 is 4030810101.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401059 + ... + 425501.

It is an arithmetic number, because the mean of its divisors is an integer number (140137452).

Almost surely, 2^10101803040 is an apocalyptic number.

10101803040 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 10101803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20179793088).

10101803040 is an abundant number, since it is smaller than the sum of its proper divisors (30257783136).

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

10101803040 is a wasteful number, since it uses less digits than its factorization.

10101803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24512 (or 24501 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

It can be divided in two parts, 1010 and 1803040, that added together give a triangular number (1804050 = T₁₈₉₉).

The spelling of 10101803040 in words is "ten billion, one hundred one million, eight hundred three thousand, forty".