107419407001 has 9 divisors (see below), whose sum is σ = 108081896853. Its totient is φ = 106760959260.

The previous prime is 107419406987. The next prime is 107419407013. The reversal of 107419407001 is 100704914701.

The square root of 107419407001 is 327749.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 107419407001 - 2¹⁵ = 107419374233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107419407401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58666156 + ... + 58667986.

Almost surely, 2^107419407001 is an apocalyptic number.

107419407001 is the 327749-th square number.

107419407001 is the 163875-th centered octagonal number.

It is an amenable number.

107419407001 is a deficient number, since it is larger than the sum of its proper divisors (662489852).

107419407001 is an frugal number, since it uses more digits than its factorization.

107419407001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

Multiplying 107419407001 by its product of nonzero digits (7056), we get a square (757951335799056 = 27530916²).

The spelling of 107419407001 in words is "one hundred seven billion, four hundred nineteen million, four hundred seven thousand, one".