106002860780 has 24 divisors (see below), whose sum is σ = 223398211680. Its totient is φ = 42250248320.

The previous prime is 106002860779. The next prime is 106002860807. The reversal of 106002860780 is 87068200601.

It is a super-3 number, since 3×106002860780³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9425240 + ... + 9436479.

It is an arithmetic number, because the mean of its divisors is an integer number (9308258820).

Almost surely, 2^106002860780 is an apocalyptic number.

106002860780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106002860780 is an abundant number, since it is smaller than the sum of its proper divisors (117395350900).

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

106002860780 is a wasteful number, since it uses less digits than its factorization.

106002860780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18862009 (or 18862007 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 106002860780 in words is "one hundred six billion, two million, eight hundred sixty thousand, seven hundred eighty".