107071950 has 96 divisors (see below), whose sum is σ = 283910400. Its totient is φ = 26611200.

The previous prime is 107071931. The next prime is 107071997. The reversal of 107071950 is 59170701.

It is a super-2 number, since 2×107071950² = 22928804953605000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 507345 + ... + 507555.

It is an arithmetic number, because the mean of its divisors is an integer number (2957400).

Almost surely, 2^107071950 is an apocalyptic number.

107071950 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 107071950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141955200).

107071950 is an abundant number, since it is smaller than the sum of its proper divisors (176838450).

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

107071950 is a wasteful number, since it uses less digits than its factorization.

107071950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 30.

The square root of 107071950 is about 10347.5576828544. The cubic root of 107071950 is about 474.8523271326.

The spelling of 107071950 in words is "one hundred seven million, seventy-one thousand, nine hundred fifty".