106053078240 has 432 divisors, whose sum is σ = 394337414016. Its totient is φ = 25924147200.

The previous prime is 106053078227. The next prime is 106053078253. The reversal of 106053078240 is 42870350601.

106053078240 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 530 + 7 + 82 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (106053078227) and next prime (106053078253).

It is a super-2 number, since 2×106053078240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106053078195 and 106053078204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16111750 + ... + 16118330.

It is an arithmetic number, because the mean of its divisors is an integer number (912818088).

Almost surely, 2^106053078240 is an apocalyptic number.

106053078240 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 106053078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197168707008).

106053078240 is an abundant number, since it is smaller than the sum of its proper divisors (288284335776).

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

106053078240 is a wasteful number, since it uses less digits than its factorization.

106053078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6671 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 106053078240 in words is "one hundred six billion, fifty-three million, seventy-eight thousand, two hundred forty".