10780946100 has 360 divisors, whose sum is σ = 37658839680. Its totient is φ = 2657940480.

The previous prime is 10780946051. The next prime is 10780946173. The reversal of 10780946100 is 164908701.

It is a super-2 number, since 2×10780946100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8123637 + ... + 8124963.

It is an arithmetic number, because the mean of its divisors is an integer number (104607888).

Almost surely, 2^10780946100 is an apocalyptic number.

10780946100 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 10780946100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829419840).

10780946100 is an abundant number, since it is smaller than the sum of its proper divisors (26877893580).

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

10780946100 is a wasteful number, since it uses less digits than its factorization.

10780946100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

It can be divided in two parts, 10780946 and 100, that added together give a triangular number (10781046 = T₄₆₄₃).

The spelling of 10780946100 in words is "ten billion, seven hundred eighty million, nine hundred forty-six thousand, one hundred".