101141620 has 24 divisors (see below), whose sum is σ = 213953544. Its totient is φ = 40160256.

The previous prime is 101141611. The next prime is 101141627. The reversal of 101141620 is 26141101.

It can be written as a sum of positive squares in 4 ways, for example, as 44169316 + 56972304 = 6646^2 + 7548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101141594 and 101141603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101141627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15717 + ... + 21196.

It is an arithmetic number, because the mean of its divisors is an integer number (8914731).

Almost surely, 2^101141620 is an apocalyptic number.

101141620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101141620 is an abundant number, since it is smaller than the sum of its proper divisors (112811924).

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

101141620 is a wasteful number, since it uses less digits than its factorization.

101141620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37059 (or 37057 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101141620 is about 10056.9190113076. The cubic root of 101141620 is about 465.9185143675.

Adding to 101141620 its reverse (26141101), we get a palindrome (127282721).

It can be divided in two parts, 101141 and 620, that added together give a square (101761 = 319²).

The spelling of 101141620 in words is "one hundred one million, one hundred forty-one thousand, six hundred twenty".