106171560 has 224 divisors, whose sum is σ = 391906080. Its totient is φ = 25660800.

The previous prime is 106171547. The next prime is 106171577. The reversal of 106171560 is 65171601.

It is a super-2 number, since 2×106171560² = 22544800305667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 320595 + ... + 320925.

Almost surely, 2^106171560 is an apocalyptic number.

106171560 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 106171560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195953040).

106171560 is an abundant number, since it is smaller than the sum of its proper divisors (285734520).

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

106171560 is a wasteful number, since it uses less digits than its factorization.

106171560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 106171560 is about 10303.9584626492. The cubic root of 106171560 is about 473.5175350429.

The spelling of 106171560 in words is "one hundred six million, one hundred seventy-one thousand, five hundred sixty".