106128268450 has 24 divisors (see below), whose sum is σ = 197497612692. Its totient is φ = 42430009920.

The previous prime is 106128268447. The next prime is 106128268453. The reversal of 106128268450 is 54862821601.

It is an interprime number because it is at equal distance from previous prime (106128268447) and next prime (106128268453).

It can be written as a sum of positive squares in 6 ways, for example, as 36289107009 + 69839161441 = 190497^2 + 264271^2 .

It is a super-2 number, since 2×106128268450² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106128268397 and 106128268406.

It is not an unprimeable number, because it can be changed into a prime (106128268453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431589 + ... + 631288.

Almost surely, 2^106128268450 is an apocalyptic number.

106128268450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106128268450 is a deficient number, since it is larger than the sum of its proper divisors (91369344242).

106128268450 is a wasteful number, since it uses less digits than its factorization.

106128268450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064886 (or 1064881 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 106128268450 in words is "one hundred six billion, one hundred twenty-eight million, two hundred sixty-eight thousand, four hundred fifty".