106830480460 has 48 divisors (see below), whose sum is σ = 245420824320. Its totient is φ = 38739208640.

The previous prime is 106830480437. The next prime is 106830480503. The reversal of 106830480460 is 64084038601.

It is a super-2 number, since 2×106830480460² (a number of 23 digits) contains 22 as substring.

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, 597334 + ... + 755293.

It is an arithmetic number, because the mean of its divisors is an integer number (5112933840).

Almost surely, 2^106830480460 is an apocalyptic number.

106830480460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106830480460 is an abundant number, since it is smaller than the sum of its proper divisors (138590343860).

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

106830480460 is a wasteful number, since it uses less digits than its factorization.

106830480460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353006 (or 1353004 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 106830480460 in words is "one hundred six billion, eight hundred thirty million, four hundred eighty thousand, four hundred sixty".