106893428410 has 64 divisors (see below), whose sum is σ = 217550085120. Its totient is φ = 37601141760.

The previous prime is 106893428399. The next prime is 106893428413. The reversal of 106893428410 is 14824398601.

106893428410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106893428410² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106893428413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196884 + ... + 502543.

It is an arithmetic number, because the mean of its divisors is an integer number (3399220080).

Almost surely, 2^106893428410 is an apocalyptic number.

106893428410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106893428410 is an abundant number, since it is smaller than the sum of its proper divisors (110656656710).

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

106893428410 is a wasteful number, since it uses less digits than its factorization.

106893428410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699511.

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 106893428410 in words is "one hundred six billion, eight hundred ninety-three million, four hundred twenty-eight thousand, four hundred ten".