106101540314 has 96 divisors (see below), whose sum is σ = 201668721408. Its totient is φ = 40979980800.

The previous prime is 106101540301. The next prime is 106101540319. The reversal of 106101540314 is 413045101601.

It is a super-2 number, since 2×106101540314² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106101540319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119617979 + ... + 119618865.

It is an arithmetic number, because the mean of its divisors is an integer number (2100715848).

Almost surely, 2^106101540314 is an apocalyptic number.

106101540314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106101540314 is a deficient number, since it is larger than the sum of its proper divisors (95567181094).

106101540314 is a wasteful number, since it uses less digits than its factorization.

106101540314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 106101540314 its reverse (413045101601), we get a palindrome (519146641915).

The spelling of 106101540314 in words is "one hundred six billion, one hundred one million, five hundred forty thousand, three hundred fourteen".