106101630 has 32 divisors (see below), whose sum is σ = 282938400. Its totient is φ = 28293696.

The previous prime is 106101629. The next prime is 106101637. The reversal of 106101630 is 36101601.

106101630 is a `hidden beast` number, since 10 + 610 + 16 + 30 = 666.

It is a super-3 number, since 3×106101630³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106101637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196215 + ... + 196754.

It is an arithmetic number, because the mean of its divisors is an integer number (8841825).

Almost surely, 2^106101630 is an apocalyptic number.

106101630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106101630 is an abundant number, since it is smaller than the sum of its proper divisors (176836770).

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

106101630 is a wasteful number, since it uses less digits than its factorization.

106101630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392985 (or 392979 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 106101630 is about 10300.5645476352. The cubic root of 106101630 is about 473.4135512834.

The spelling of 106101630 in words is "one hundred six million, one hundred one thousand, six hundred thirty".