106342252440 has 128 divisors (see below), whose sum is σ = 332233574400. Its totient is φ = 27200194560.

The previous prime is 106342252427. The next prime is 106342252451. The reversal of 106342252440 is 44252243601.

It is a super-2 number, since 2×106342252440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293871 + ... + 546849.

It is an arithmetic number, because the mean of its divisors is an integer number (2595574800).

Almost surely, 2^106342252440 is an apocalyptic number.

106342252440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106342252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166116787200).

106342252440 is an abundant number, since it is smaller than the sum of its proper divisors (225891321960).

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

106342252440 is a wasteful number, since it uses less digits than its factorization.

106342252440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253137 (or 253133 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 106342252440 in words is "one hundred six billion, three hundred forty-two million, two hundred fifty-two thousand, four hundred forty".