106745414034 has 512 divisors, whose sum is σ = 300987187200. Its totient is φ = 24482304000.

The previous prime is 106745414033. The next prime is 106745414117. The reversal of 106745414034 is 430414547601.

It is a super-2 number, since 2×106745414034² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106745413983 and 106745414001.

It is not an unprimeable number, because it can be changed into a prime (106745414033) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 425280409 + ... + 425280659.

It is an arithmetic number, because the mean of its divisors is an integer number (587865600).

Almost surely, 2^106745414034 is an apocalyptic number.

106745414034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106745414034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150493593600).

106745414034 is an abundant number, since it is smaller than the sum of its proper divisors (194241773166).

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

106745414034 is a wasteful number, since it uses less digits than its factorization.

106745414034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398.

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 106745414034 in words is "one hundred six billion, seven hundred forty-five million, four hundred fourteen thousand, thirty-four".