106205361460 has 48 divisors (see below), whose sum is σ = 245317689792. Its totient is φ = 38620121760.

The previous prime is 106205361433. The next prime is 106205361467. The reversal of 106205361460 is 64163502601.

It is a super-2 number, since 2×106205361460² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106205361467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968222 + ... + 2021461.

It is an arithmetic number, because the mean of its divisors is an integer number (5110785204).

Almost surely, 2^106205361460 is an apocalyptic number.

106205361460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106205361460 is an abundant number, since it is smaller than the sum of its proper divisors (139112328332).

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

106205361460 is a wasteful number, since it uses less digits than its factorization.

106205361460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989725 (or 3989701 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 106205361460 in words is "one hundred six billion, two hundred five million, three hundred sixty-one thousand, four hundred sixty".