107121450240 has 720 divisors, whose sum is σ = 442618944768. Its totient is φ = 24230264832.

The previous prime is 107121450239. The next prime is 107121450251. The reversal of 107121450240 is 42054121701.

107121450240 is a `hidden beast` number, since 107 + 1 + 2 + 14 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×107121450240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74752564 + ... + 74753996.

Almost surely, 2^107121450240 is an apocalyptic number.

107121450240 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 107121450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221309472384).

107121450240 is an abundant number, since it is smaller than the sum of its proper divisors (335497494528).

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

107121450240 is a wasteful number, since it uses less digits than its factorization.

107121450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 107121450240 its reverse (42054121701), we get a palindrome (149175571941).

The spelling of 107121450240 in words is "one hundred seven billion, one hundred twenty-one million, four hundred fifty thousand, two hundred forty".