106403651310 has 64 divisors (see below), whose sum is σ = 278961719040. Its totient is φ = 25759860480.

The previous prime is 106403651293. The next prime is 106403651311. The reversal of 106403651310 is 13156304601.

It is a super-2 number, since 2×106403651310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106403651311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25714 + ... + 462026.

It is an arithmetic number, because the mean of its divisors is an integer number (4358776860).

Almost surely, 2^106403651310 is an apocalyptic number.

106403651310 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 106403651310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139480859520).

106403651310 is an abundant number, since it is smaller than the sum of its proper divisors (172558067730).

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

106403651310 is a wasteful number, since it uses less digits than its factorization.

106403651310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437073.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 106403651310 its reverse (13156304601), we get a palindrome (119559955911).

The spelling of 106403651310 in words is "one hundred six billion, four hundred three million, six hundred fifty-one thousand, three hundred ten".