101741640 has 384 divisors, whose sum is σ = 420577920. Its totient is φ = 19514880.

The previous prime is 101741639. The next prime is 101741641. The reversal of 101741640 is 46147101.

It is an interprime number because it is at equal distance from previous prime (101741639) and next prime (101741641).

It is a super-2 number, since 2×101741640² = 20702722619779200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101741640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101741641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7826274 + ... + 7826286.

It is an arithmetic number, because the mean of its divisors is an integer number (1095255).

Almost surely, 2^101741640 is an apocalyptic number.

101741640 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 101741640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210288960).

101741640 is an abundant number, since it is smaller than the sum of its proper divisors (318836280).

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

101741640 is a wasteful number, since it uses less digits than its factorization.

101741640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 101741640 is about 10086.7061025887. The cubic root of 101741640 is about 466.8380481642.

Adding to 101741640 its reverse (46147101), we get a palindrome (147888741).

The spelling of 101741640 in words is "one hundred one million, seven hundred forty-one thousand, six hundred forty".