107073480 has 128 divisors (see below), whose sum is σ = 345254400. Its totient is φ = 26468352.

The previous prime is 107073457. The next prime is 107073511. The reversal of 107073480 is 84370701.

It is a happy number.

It is a super-2 number, since 2×107073480² = 22929460238620800, which contains 22 as substring.

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

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, 148561 + ... + 149279.

It is an arithmetic number, because the mean of its divisors is an integer number (2697300).

Almost surely, 2^107073480 is an apocalyptic number.

107073480 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 107073480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172627200).

107073480 is an abundant number, since it is smaller than the sum of its proper divisors (238180920).

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

107073480 is a wasteful number, since it uses less digits than its factorization.

107073480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 107073480 is about 10347.6316130794. The cubic root of 107073480 is about 474.8545889157.

The spelling of 107073480 in words is "one hundred seven million, seventy-three thousand, four hundred eighty".