107641400 has 48 divisors (see below), whose sum is σ = 256389840. Its totient is φ = 42003200.

The previous prime is 107641397. The next prime is 107641409. The reversal of 107641400 is 4146701.

107641400 = T₁₂₆₁ + T₁₂₆₂ + ... + T₁₃₈₃.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107641409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1637 + ... + 14763.

It is an arithmetic number, because the mean of its divisors is an integer number (5341455).

Almost surely, 2^107641400 is an apocalyptic number.

107641400 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 107641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128194920).

107641400 is an abundant number, since it is smaller than the sum of its proper divisors (148748440).

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

107641400 is a wasteful number, since it uses less digits than its factorization.

107641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13184 (or 13175 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 107641400 is about 10375.0373493304. The cubic root of 107641400 is about 475.6926552076.

The spelling of 107641400 in words is "one hundred seven million, six hundred forty-one thousand, four hundred".