10100061080 has 64 divisors (see below), whose sum is σ = 24251581440. Its totient is φ = 3772403712.

The previous prime is 10100061079. The next prime is 10100061109. The reversal of 10100061080 is 8016000101.

It is a happy number.

It is a super-2 number, since 2×10100061080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 27884 + ... + 144836.

It is an arithmetic number, because the mean of its divisors is an integer number (378930960).

Almost surely, 2^10100061080 is an apocalyptic number.

10100061080 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 10100061080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125790720).

10100061080 is an abundant number, since it is smaller than the sum of its proper divisors (14151520360).

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

10100061080 is a wasteful number, since it uses less digits than its factorization.

10100061080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117108 (or 117104 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10100061080 its reverse (8016000101), we get a palindrome (18116061181).

The spelling of 10100061080 in words is "ten billion, one hundred million, sixty-one thousand, eighty".