106261501430 has 48 divisors (see below), whose sum is σ = 222611277456. Its totient is φ = 36414060480.

The previous prime is 106261501429. The next prime is 106261501433. The reversal of 106261501430 is 34105162601.

It is a happy number.

It is a super-2 number, since 2×106261501430² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106261501393 and 106261501402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106261501433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931472 + ... + 1039308.

It is an arithmetic number, because the mean of its divisors is an integer number (4637734947).

Almost surely, 2^106261501430 is an apocalyptic number.

106261501430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106261501430 is an abundant number, since it is smaller than the sum of its proper divisors (116349776026).

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

106261501430 is a wasteful number, since it uses less digits than its factorization.

106261501430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109869 (or 109862 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 106261501430 in words is "one hundred six billion, two hundred sixty-one million, five hundred one thousand, four hundred thirty".