106129671901 has 8 divisors (see below), whose sum is σ = 115781901984. Its totient is φ = 96478121520.

The previous prime is 106129671863. The next prime is 106129671919. The reversal of 106129671901 is 109176921601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106129671901 - 2²⁵ = 106096117469 is a prime.

It is a super-2 number, since 2×106129671901² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106129671101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189651 + ... + 498223.

It is an arithmetic number, because the mean of its divisors is an integer number (14472737748).

Almost surely, 2^106129671901 is an apocalyptic number.

106129671901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106129671901 is a deficient number, since it is larger than the sum of its proper divisors (9652230083).

106129671901 is a wasteful number, since it uses less digits than its factorization.

106129671901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339851.

The product of its (nonzero) digits is 40824, while the sum is 43.

The spelling of 106129671901 in words is "one hundred six billion, one hundred twenty-nine million, six hundred seventy-one thousand, nine hundred one".