106935740 has 48 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 39589440.

The previous prime is 106935721. The next prime is 106935767. The reversal of 106935740 is 47539601.

It is a super-2 number, since 2×106935740² = 22870504978695200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106935740.

It is a congruent number.

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, 10511 + ... + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (5040000).

Almost surely, 2^106935740 is an apocalyptic number.

106935740 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 106935740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

106935740 is an abundant number, since it is smaller than the sum of its proper divisors (134984260).

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

106935740 is a wasteful number, since it uses less digits than its factorization.

106935740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7562 (or 7560 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 106935740 is about 10340.9738419551. The cubic root of 106935740 is about 474.6508828951.

The spelling of 106935740 in words is "one hundred six million, nine hundred thirty-five thousand, seven hundred forty".