106807950 has 96 divisors (see below), whose sum is σ = 299370720. Its totient is φ = 27993600.

The previous prime is 106807933. The next prime is 106807973. The reversal of 106807950 is 59708601.

It is a super-2 number, since 2×106807950² = 22815876366405000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81702 + ... + 82998.

It is an arithmetic number, because the mean of its divisors is an integer number (3118445).

Almost surely, 2^106807950 is an apocalyptic number.

106807950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106807950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149685360).

106807950 is an abundant number, since it is smaller than the sum of its proper divisors (192562770).

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

106807950 is a wasteful number, since it uses less digits than its factorization.

106807950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 106807950 is about 10334.7931764501. The cubic root of 106807950 is about 474.4617356126.

The spelling of 106807950 in words is "one hundred six million, eight hundred seven thousand, nine hundred fifty".