107060400 has 240 divisors, whose sum is σ = 398545920. Its totient is φ = 27244800.

The previous prime is 107060357. The next prime is 107060419. The reversal of 107060400 is 4060701.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×107060400² = 22923858496320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 248185 + ... + 248615.

It is an arithmetic number, because the mean of its divisors is an integer number (1660608).

Almost surely, 2^107060400 is an apocalyptic number.

107060400 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 107060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199272960).

107060400 is an abundant number, since it is smaller than the sum of its proper divisors (291485520).

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

107060400 is a wasteful number, since it uses less digits than its factorization.

107060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 107060400 is about 10346.9995650913. Note that the first 3 decimals coincide. The cubic root of 107060400 is about 474.8352521918.

The spelling of 107060400 in words is "one hundred seven million, sixty thousand, four hundred".