101141376 has 128 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 28600320.

The previous prime is 101141363. The next prime is 101141407. The reversal of 101141376 is 673141101.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513310 + ... + 513506.

It is an arithmetic number, because the mean of its divisors is an integer number (2423520).

Almost surely, 2^101141376 is an apocalyptic number.

101141376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101141376 is the 5376-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155105280).

101141376 is an abundant number, since it is smaller than the sum of its proper divisors (209069184).

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

101141376 is a wasteful number, since it uses less digits than its factorization.

101141376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 101141376 is about 10056.9068803485. The cubic root of 101141376 is about 465.9181396974.

Adding to 101141376 its reverse (673141101), we get a palindrome (774282477).

The spelling of 101141376 in words is "one hundred one million, one hundred forty-one thousand, three hundred seventy-six".