106103862480 has 320 divisors, whose sum is σ = 410610290688. Its totient is φ = 22019297280.

The previous prime is 106103862443. The next prime is 106103862547. The reversal of 106103862480 is 84268301601.

It is a super-2 number, since 2×106103862480² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16388524 + ... + 16394996.

Almost surely, 2^106103862480 is an apocalyptic number.

106103862480 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 106103862480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205305145344).

106103862480 is an abundant number, since it is smaller than the sum of its proper divisors (304506428208).

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

106103862480 is a wasteful number, since it uses less digits than its factorization.

106103862480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 106103862480 in words is "one hundred six billion, one hundred three million, eight hundred sixty-two thousand, four hundred eighty".