106159017420 has 192 divisors, whose sum is σ = 339342796800. Its totient is φ = 27541555200.

The previous prime is 106159017409. The next prime is 106159017427. The reversal of 106159017420 is 24710951601.

106159017420 is a `hidden beast` number, since 1 + 0 + 61 + 590 + 1 + 7 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×106159017420² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106159017427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3073245 + ... + 3107595.

It is an arithmetic number, because the mean of its divisors is an integer number (1767410400).

Almost surely, 2^106159017420 is an apocalyptic number.

106159017420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106159017420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169671398400).

106159017420 is an abundant number, since it is smaller than the sum of its proper divisors (233183779380).

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

106159017420 is a wasteful number, since it uses less digits than its factorization.

106159017420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34525 (or 34517 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 106159017420 in words is "one hundred six billion, one hundred fifty-nine million, seventeen thousand, four hundred twenty".