106939980 has 192 divisors, whose sum is σ = 400512000. Its totient is φ = 23141376.

The previous prime is 106939957. The next prime is 106939981. The reversal of 106939980 is 89939601.

It is a super-2 number, since 2×106939980² = 22872318644800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106939981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71076 + ... + 72564.

It is an arithmetic number, because the mean of its divisors is an integer number (2086000).

Almost surely, 2^106939980 is an apocalyptic number.

106939980 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 106939980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200256000).

106939980 is an abundant number, since it is smaller than the sum of its proper divisors (293572020).

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

106939980 is a wasteful number, since it uses less digits than its factorization.

106939980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 106939980 is about 10341.1788496283. The cubic root of 106939980 is about 474.6571561116.

The spelling of 106939980 in words is "one hundred six million, nine hundred thirty-nine thousand, nine hundred eighty".