106405202610 has 128 divisors (see below), whose sum is σ = 325575936000. Its totient is φ = 24224184000.

The previous prime is 106405202609. The next prime is 106405202623. The reversal of 106405202610 is 16202504601.

106405202610 is a `hidden beast` number, since 1 + 0 + 6 + 40 + 5 + 2 + 0 + 2 + 610 = 666.

It is a super-2 number, since 2×106405202610² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362241 + ... + 586539.

It is an arithmetic number, because the mean of its divisors is an integer number (2543562000).

Almost surely, 2^106405202610 is an apocalyptic number.

106405202610 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 106405202610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162787968000).

106405202610 is an abundant number, since it is smaller than the sum of its proper divisors (219170733390).

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

106405202610 is a wasteful number, since it uses less digits than its factorization.

106405202610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224573 (or 224567 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 106405202610 in words is "one hundred six billion, four hundred five million, two hundred two thousand, six hundred ten".