107045100 has 108 divisors (see below), whose sum is σ = 339806376. Its totient is φ = 28181760.

The previous prime is 107045021. The next prime is 107045117. The reversal of 107045100 is 1540701.

It is a super-2 number, since 2×107045100² = 22917306868020000, 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 35 ways as a sum of consecutive naturals, for example, 73984 + ... + 75416.

Almost surely, 2^107045100 is an apocalyptic number.

107045100 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 107045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169903188).

107045100 is an abundant number, since it is smaller than the sum of its proper divisors (232761276).

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

107045100 is a wasteful number, since it uses less digits than its factorization.

107045100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 107045100 is about 10346.2601939058. The cubic root of 107045100 is about 474.8126315482.

Adding to 107045100 its reverse (1540701), we get a palindrome (108585801).

The spelling of 107045100 in words is "one hundred seven million, forty-five thousand, one hundred".