106850040 has 128 divisors (see below), whose sum is σ = 355691520. Its totient is φ = 25459200.

The previous prime is 106850039. The next prime is 106850057. The reversal of 106850040 is 40058601.

It is a super-2 number, since 2×106850040² = 22833862096003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79857 + ... + 81183.

It is an arithmetic number, because the mean of its divisors is an integer number (2778840).

Almost surely, 2^106850040 is an apocalyptic number.

106850040 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 106850040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177845760).

106850040 is an abundant number, since it is smaller than the sum of its proper divisors (248841480).

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

106850040 is a wasteful number, since it uses less digits than its factorization.

106850040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106850040 is about 10336.8293010962. The cubic root of 106850040 is about 474.5240514227.

The spelling of 106850040 in words is "one hundred six million, eight hundred fifty thousand, forty".