106405542625 has 8 divisors (see below), whose sum is σ = 132794117352. Its totient is φ = 85124434000.

The previous prime is 106405542569. The next prime is 106405542667. The reversal of 106405542625 is 526245504601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3543582784 + 102861959841 = 59528^2 + 320721^2 .

It is not a de Polignac number, because 106405542625 - 2²⁵ = 106371988193 is a prime.

It is a super-2 number, since 2×106405542625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425622046 + ... + 425622295.

It is an arithmetic number, because the mean of its divisors is an integer number (16599264669).

Almost surely, 2^106405542625 is an apocalyptic number.

It is an amenable number.

106405542625 is a deficient number, since it is larger than the sum of its proper divisors (26388574727).

106405542625 is an frugal number, since it uses more digits than its factorization.

106405542625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851244356 (or 851244346 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 106405542625 in words is "one hundred six billion, four hundred five million, five hundred forty-two thousand, six hundred twenty-five".