2961065100 has 432 divisors, whose sum is σ = 10847118240. Its totient is φ = 621465600.

The previous prime is 2961065087. The next prime is 2961065101. The reversal of 2961065100 is 15601692.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2961065101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72221080 + ... + 72221120.

It is an arithmetic number, because the mean of its divisors is an integer number (25109070).

Almost surely, 2^2961065100 is an apocalyptic number.

2961065100 is a gapful number since it is divisible by the number (20) 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 2961065100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423559120).

2961065100 is an abundant number, since it is smaller than the sum of its proper divisors (7886053140).

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

2961065100 is a wasteful number, since it uses less digits than its factorization.

2961065100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 2961065100 is about 54415.6696182267. The cubic root of 2961065100 is about 1435.9830662208.

Adding to 2961065100 its reverse (15601692), we get a palindrome (2976666792).

The spelling of 2961065100 in words is "two billion, nine hundred sixty-one million, sixty-five thousand, one hundred".