10745106480 has 120 divisors (see below), whose sum is σ = 37984942320. Its totient is φ = 2714549760.

The previous prime is 10745106457. The next prime is 10745106503. The reversal of 10745106480 is 8460154701.

It is a happy number.

10745106480 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 5 + 1 + 0 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10745106457) and next prime (10745106503).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379051 + ... + 406410.

It is an arithmetic number, because the mean of its divisors is an integer number (316541186).

Almost surely, 2^10745106480 is an apocalyptic number.

10745106480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10745106480 is an abundant number, since it is smaller than the sum of its proper divisors (27239835840).

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

10745106480 is a wasteful number, since it uses less digits than its factorization.

10745106480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785499 (or 785490 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10745106480 in words is "ten billion, seven hundred forty-five million, one hundred six thousand, four hundred eighty".