106001896 has 192 divisors, whose sum is σ = 284981760. Its totient is φ = 36288000.

The previous prime is 106001867. The next prime is 106001899. The reversal of 106001896 is 698100601.

It is a happy number.

It is a super-2 number, since 2×106001896² = 22472803911189632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (106001899) 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, 1737706 + ... + 1737766.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^106001896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106001896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

106001896 is an abundant number, since it is smaller than the sum of its proper divisors (178979864).

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

106001896 is a wasteful number, since it uses less digits than its factorization.

106001896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 106001896 is about 10295.7222184750. The cubic root of 106001896 is about 473.2651708147.

The spelling of 106001896 in words is "one hundred six million, one thousand, eight hundred ninety-six".