107072490 has 64 divisors (see below), whose sum is σ = 297271296. Its totient is φ = 24174912.

The previous prime is 107072489. The next prime is 107072503. The reversal of 107072490 is 94270701.

It is a super-2 number, since 2×107072490² = 22929036229600200, which contains 22 as substring.

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

It is a Curzon 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, 14359 + ... + 20501.

It is an arithmetic number, because the mean of its divisors is an integer number (4644864).

Almost surely, 2^107072490 is an apocalyptic number.

107072490 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 107072490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148635648).

107072490 is an abundant number, since it is smaller than the sum of its proper divisors (190198806).

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

107072490 is a wasteful number, since it uses less digits than its factorization.

107072490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6243.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 107072490 is about 10347.5837759353. The cubic root of 107072490 is about 474.8531254114.

The spelling of 107072490 in words is "one hundred seven million, seventy-two thousand, four hundred ninety".