10616241090 has 512 divisors, whose sum is σ = 35226648576. Its totient is φ = 1984020480.

The previous prime is 10616241071. The next prime is 10616241101. The reversal of 10616241090 is 9014261601.

It is a happy number.

It is a super-2 number, since 2×10616241090² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67619292 + ... + 67619448.

It is an arithmetic number, because the mean of its divisors is an integer number (68802048).

Almost surely, 2^10616241090 is an apocalyptic number.

10616241090 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 10616241090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17613324288).

10616241090 is an abundant number, since it is smaller than the sum of its proper divisors (24610407486).

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

10616241090 is a wasteful number, since it uses less digits than its factorization.

10616241090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 10616241090 in words is "ten billion, six hundred sixteen million, two hundred forty-one thousand, ninety".