106235754240 has 864 divisors, whose sum is σ = 432179435520. Its totient is φ = 21767454720.

The previous prime is 106235754193. The next prime is 106235754241. The reversal of 106235754240 is 42457532601.

It is a super-2 number, since 2×106235754240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106235754241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289470537 + ... + 289470903.

It is an arithmetic number, because the mean of its divisors is an integer number (500207680).

Almost surely, 2^106235754240 is an apocalyptic number.

106235754240 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 106235754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216089717760).

106235754240 is an abundant number, since it is smaller than the sum of its proper divisors (325943681280).

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

106235754240 is a wasteful number, since it uses less digits than its factorization.

106235754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 106235754240 in words is "one hundred six billion, two hundred thirty-five million, seven hundred fifty-four thousand, two hundred forty".