101946690 has 96 divisors (see below), whose sum is σ = 274285440. Its totient is φ = 26258688.

The previous prime is 101946683. The next prime is 101946697. The reversal of 101946690 is 96649101.

101946690 is a `hidden beast` number, since 101 + 9 + 466 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (101946683) and next prime (101946697).

It is a super-2 number, since 2×101946690² = 20786255203912200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101946697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387499 + ... + 387761.

It is an arithmetic number, because the mean of its divisors is an integer number (2857140).

Almost surely, 2^101946690 is an apocalyptic number.

101946690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101946690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137142720).

101946690 is an abundant number, since it is smaller than the sum of its proper divisors (172338750).

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

101946690 is a wasteful number, since it uses less digits than its factorization.

101946690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 101946690 is about 10096.8653551486. The cubic root of 101946690 is about 467.1514593548.

The spelling of 101946690 in words is "one hundred one million, nine hundred forty-six thousand, six hundred ninety".