107143400 has 216 divisors, whose sum is σ = 323201970. Its totient is φ = 32739840.

The previous prime is 107143397. The next prime is 107143411. The reversal of 107143400 is 4341701.

It can be written as a sum of positive squares in 9 ways, for example, as 682276 + 106461124 = 826^2 + 10318^2 .

It is a super-2 number, since 2×107143400² = 22959416327120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3694586 + ... + 3694614.

Almost surely, 2^107143400 is an apocalyptic number.

107143400 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 107143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161600985).

107143400 is an abundant number, since it is smaller than the sum of its proper divisors (216058570).

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

107143400 is a wasteful number, since it uses less digits than its factorization.

107143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 107143400 is about 10351.0096125934. The cubic root of 107143400 is about 474.9579279450.

The spelling of 107143400 in words is "one hundred seven million, one hundred forty-three thousand, four hundred".