106654590294 has 64 divisors (see below), whose sum is σ = 249868855296. Its totient is φ = 29716562304.

The previous prime is 106654590271. The next prime is 106654590313. The reversal of 106654590294 is 492095456601.

It is a super-2 number, since 2×106654590294² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449272 + ... + 644324.

It is an arithmetic number, because the mean of its divisors is an integer number (3904200864).

Almost surely, 2^106654590294 is an apocalyptic number.

106654590294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106654590294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124934427648).

106654590294 is an abundant number, since it is smaller than the sum of its proper divisors (143214265002).

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

106654590294 is a wasteful number, since it uses less digits than its factorization.

106654590294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195389.

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 106654590294 in words is "one hundred six billion, six hundred fifty-four million, five hundred ninety thousand, two hundred ninety-four".