106503753240 has 96 divisors (see below), whose sum is σ = 352004000400. Its totient is φ = 27919622400.

The previous prime is 106503753173. The next prime is 106503753263. The reversal of 106503753240 is 42357305601.

106503753240 is a `hidden beast` number, since 1 + 0 + 6 + 50 + 37 + 532 + 40 = 666.

It is a super-2 number, since 2×106503753240² (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 = 106503753195 and 106503753204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2485911 + ... + 2528390.

Almost surely, 2^106503753240 is an apocalyptic number.

106503753240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106503753240 is an abundant number, since it is smaller than the sum of its proper divisors (245500247160).

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

106503753240 is a wasteful number, since it uses less digits than its factorization.

106503753240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014377 (or 5014370 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 106503753240 in words is "one hundred six billion, five hundred three million, seven hundred fifty-three thousand, two hundred forty".