11107601010 has 256 divisors, whose sum is σ = 33566883840. Its totient is φ = 2589408000.

The previous prime is 11107601003. The next prime is 11107601069. The reversal of 11107601010 is 1010670111.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20531340 + ... + 20531880.

It is an arithmetic number, because the mean of its divisors is an integer number (131120640).

Almost surely, 2^11107601010 is an apocalyptic number.

11107601010 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 11107601010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783441920).

11107601010 is an abundant number, since it is smaller than the sum of its proper divisors (22459282830).

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

11107601010 is a wasteful number, since it uses less digits than its factorization.

11107601010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

The spelling of 11107601010 in words is "eleven billion, one hundred seven million, six hundred one thousand, ten".