106754371416 has 256 divisors, whose sum is σ = 374923468800. Its totient is φ = 27337564800.

The previous prime is 106754371349. The next prime is 106754371429. The reversal of 106754371416 is 614173457601.

It is a happy number.

106754371416 is a `hidden beast` number, since 1 + 0 + 6 + 75 + 437 + 141 + 6 = 666.

It is a super-2 number, since 2×106754371416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1135671 + ... + 1226073.

It is an arithmetic number, because the mean of its divisors is an integer number (1464544800).

Almost surely, 2^106754371416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106754371416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187461734400).

106754371416 is an abundant number, since it is smaller than the sum of its proper divisors (268169097384).

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

106754371416 is a wasteful number, since it uses less digits than its factorization.

106754371416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90507 (or 90497 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 106754371416 in words is "one hundred six billion, seven hundred fifty-four million, three hundred seventy-one thousand, four hundred sixteen".