107542890 has 160 divisors (see below), whose sum is σ = 356146560. Its totient is φ = 22674816.

The previous prime is 107542889. The next prime is 107542913. The reversal of 107542890 is 98245701.

107542890 is a `hidden beast` number, since 107 + 542 + 8 + 9 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72981 + ... + 74439.

It is an arithmetic number, because the mean of its divisors is an integer number (2225916).

Almost surely, 2^107542890 is an apocalyptic number.

107542890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107542890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178073280).

107542890 is an abundant number, since it is smaller than the sum of its proper divisors (248603670).

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

107542890 is a wasteful number, since it uses less digits than its factorization.

107542890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 107542890 is about 10370.2888098645. The cubic root of 107542890 is about 475.5474979670.

The spelling of 107542890 in words is "one hundred seven million, five hundred forty-two thousand, eight hundred ninety".