107762130 has 256 divisors, whose sum is σ = 357212160. Its totient is φ = 22581504.

The previous prime is 107762119. The next prime is 107762189. The reversal of 107762130 is 31267701.

107762130 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 621 + 30 = 666.

It is a super-2 number, since 2×107762130² = 23225353324273800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107762094 and 107762103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1608357 + ... + 1608423.

It is an arithmetic number, because the mean of its divisors is an integer number (1395360).

Almost surely, 2^107762130 is an apocalyptic number.

107762130 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 107762130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178606080).

107762130 is an abundant number, since it is smaller than the sum of its proper divisors (249450030).

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

107762130 is a wasteful number, since it uses less digits than its factorization.

107762130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 107762130 is about 10380.8540111110. The cubic root of 107762130 is about 475.8704335111.

The spelling of 107762130 in words is "one hundred seven million, seven hundred sixty-two thousand, one hundred thirty".