106306433030 has 128 divisors (see below), whose sum is σ = 245381633280. Its totient is φ = 32312770560.

The previous prime is 106306433017. The next prime is 106306433053. The reversal of 106306433030 is 30334603601.

It is a super-2 number, since 2×106306433030² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106306432984 and 106306433002.

It is a congruent number.

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, 1377344 + ... + 1452476.

It is an arithmetic number, because the mean of its divisors is an integer number (1917044010).

Almost surely, 2^106306433030 is an apocalyptic number.

106306433030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106306433030 is an abundant number, since it is smaller than the sum of its proper divisors (139075200250).

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

106306433030 is a wasteful number, since it uses less digits than its factorization.

106306433030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75234.

The product of its (nonzero) digits is 11664, while the sum is 29.

The spelling of 106306433030 in words is "one hundred six billion, three hundred six million, four hundred thirty-three thousand, thirty".