10105532240 has 80 divisors (see below), whose sum is σ = 24015605760. Its totient is φ = 3953617920.

The previous prime is 10105532219. The next prime is 10105532273. The reversal of 10105532240 is 4223550101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714356 + ... + 728364.

It is an arithmetic number, because the mean of its divisors is an integer number (300195072).

Almost surely, 2^10105532240 is an apocalyptic number.

10105532240 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 10105532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12007802880).

10105532240 is an abundant number, since it is smaller than the sum of its proper divisors (13910073520).

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

10105532240 is a wasteful number, since it uses less digits than its factorization.

10105532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14220 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 10105532240 in words is "ten billion, one hundred five million, five hundred thirty-two thousand, two hundred forty".